Details

analyze3.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
50%	50%	50%	0%	0%	0%	0%	3
75%	75%	25%	0%	0%	0%	0%	4
87.5%	87.5%	12.5%	0%	0%	0%	0%	5
93.8%	93.7%	6.2%	0%	0%	0%	0%	6
96.9%	96.8%	3.1%	0%	0%	0%	0%	7
98.4%	98.4%	1.6%	0%	0%	0%	0%	8
99.2%	99.2%	0.8%	0%	0%	0%	0%	9
99.6%	99.6%	0.4%	0%	0%	0%	0%	10
99.8%	99.8%	0.2%	0%	0%	0%	0%	11
99.9%	99.9%	0.1%	0%	0%	0%	0%	12

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample799.0ms (33.7%)

Results

786.0ms

8256×

body

256

valid

Bogosity

preprocess4.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

2×	`1-exp`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	7
1	12	7
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(+.f64 x (/.f64 1 3))

Outputs
(+.f64 x (/.f64 1 3))
(+.f64 x 1/3)

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify12.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

2×	`1-exp`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	7
1	12	7

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(+.f64 x (/.f64 1 3))

Outputs
(+.f64 x (/.f64 1 3))
(+.f64 x 1/3)

eval0.0ms (0%)

Compiler: Compiled 9 to 7 computations (22.2% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	2	1	3

Error

0.01%

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.01%	(+.f64 x 1/3)

Compiler

Compiled 4 to 3 computations (25% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.01%	(+.f64 x 1/3)

Compiler

Compiled 6 to 4 computations (33.3% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(+.f64 x 1/3)
0.0ms	x	@	0	(+.f64 x 1/3)
0.0ms	x	@	-inf	(+.f64 x 1/3)

rewrite48.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1166×	`add-sqr-sqrt`
1142×	`*-un-lft-identity`
1098×	`pow1`
1078×	`add-cube-cbrt`
1070×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	111	7
2	1384	7

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

Inputs
(+.f64 x 1/3)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 x 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 x x) (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 x 1/3)) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (cbrt.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 1/9 (.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (-.f64 1/9 (.f64 x 1/3))) (+.f64 1/27 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x x (-.f64 1/9 (.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/9 (.f64 x x)) (-.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x x -1/9)) (neg.f64 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1/27 (pow.f64 x 3))) (neg.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x 1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x 1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 1/3)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 x 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x 1/3)) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (cbrt.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))) (+.f64 1/27 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (*.f64 x x) (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x x -1/9)) (neg.f64 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1/27 (pow.f64 x 3))) (neg.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x 1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x 1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 1/3)))))

simplify49.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1222×	`distribute-lft-in`
1102×	`distribute-rgt-in`
1036×	`associate-/l*`
914×	`associate-r`
778×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	80	646
1	191	586
2	694	490
3	3237	490

Stop Event

1×	node limit

Counts

42 → 37

Calls

Call 1

Inputs
1/3
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
(-.f64 (+.f64 1 (+.f64 x 1/3)) 1)
(-.f64 (/.f64 (*.f64 x x) (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3)))
(*.f64 (+.f64 x 1/3) 1)
(*.f64 1 (+.f64 x 1/3))
(*.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)))
(*.f64 (cbrt.f64 (+.f64 x 1/3)) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (cbrt.f64 (+.f64 x 1/3)))
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))
(.f64 (+.f64 1/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 1/9 (.f64 x 1/3)))))
(/.f64 1 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))) (+.f64 1/27 (pow.f64 x 3))))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x 1/3))))
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (neg.f64 (+.f64 x -1/3)))
(/.f64 (neg.f64 (+.f64 1/27 (pow.f64 x 3))) (neg.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3)))))
(pow.f64 (+.f64 x 1/3) 1)
(pow.f64 (sqrt.f64 (+.f64 x 1/3)) 2)
(pow.f64 (cbrt.f64 (+.f64 x 1/3)) 3)
(pow.f64 (pow.f64 (+.f64 x 1/3) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 x 1/3) 2))
(log.f64 (exp.f64 (+.f64 x 1/3)))
(cbrt.f64 (pow.f64 (+.f64 x 1/3) 3))
(expm1.f64 (log1p.f64 (+.f64 x 1/3)))
(exp.f64 (log.f64 (+.f64 x 1/3)))
(log1p.f64 (expm1.f64 (+.f64 x 1/3)))
(fma.f64 1 x 1/3)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/3)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 1/3)

Outputs
1/3
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
(-.f64 (+.f64 1 (+.f64 x 1/3)) 1)
(+.f64 1/3 x)
(-.f64 (/.f64 (*.f64 x x) (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3)))
(-.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) (/.f64 1/9 (+.f64 x -1/3)))
(+.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) (/.f64 -1/9 (+.f64 x -1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(*.f64 (+.f64 x 1/3) 1)
(+.f64 1/3 x)
(*.f64 1 (+.f64 x 1/3))
(+.f64 1/3 x)
(*.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(*.f64 (cbrt.f64 (+.f64 x 1/3)) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2))
(+.f64 1/3 x)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (cbrt.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))
(-.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) (/.f64 1/9 (+.f64 x -1/3)))
(+.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) (/.f64 -1/9 (+.f64 x -1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(.f64 (+.f64 1/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 1/9 (.f64 x 1/3)))))
(/.f64 (.f64 (+.f64 1/27 (pow.f64 x 3)) 1) (fma.f64 x x (-.f64 1/9 (.f64 1/3 x))))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))
(/.f64 1 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)))
(-.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) (/.f64 1/9 (+.f64 x -1/3)))
(+.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) (/.f64 -1/9 (+.f64 x -1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))) (+.f64 1/27 (pow.f64 x 3))))
(/.f64 (.f64 (+.f64 1/27 (pow.f64 x 3)) 1) (fma.f64 x x (-.f64 1/9 (.f64 1/3 x))))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(-.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) (/.f64 1/9 (+.f64 x -1/3)))
(+.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) (/.f64 -1/9 (+.f64 x -1/3)))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))))
(/.f64 (.f64 (+.f64 1/27 (pow.f64 x 3)) 1) (fma.f64 x x (-.f64 1/9 (.f64 1/3 x))))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x 1/3))))
(/.f64 (.f64 (+.f64 1/27 (pow.f64 x 3)) 1) (fma.f64 x x (-.f64 1/9 (.f64 1/3 x))))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x))
(-.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) (/.f64 1/9 (+.f64 x -1/3)))
(+.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) (/.f64 -1/9 (+.f64 x -1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (neg.f64 (+.f64 x -1/3)))
(-.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) (/.f64 1/9 (+.f64 x -1/3)))
(+.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) (/.f64 -1/9 (+.f64 x -1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(/.f64 (neg.f64 (+.f64 1/27 (pow.f64 x 3))) (neg.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3)))))
(/.f64 (.f64 (+.f64 1/27 (pow.f64 x 3)) 1) (fma.f64 x x (-.f64 1/9 (.f64 1/3 x))))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))
(pow.f64 (+.f64 x 1/3) 1)
(+.f64 1/3 x)
(pow.f64 (sqrt.f64 (+.f64 x 1/3)) 2)
(+.f64 1/3 x)
(pow.f64 (cbrt.f64 (+.f64 x 1/3)) 3)
(+.f64 1/3 x)
(pow.f64 (pow.f64 (+.f64 x 1/3) 3) 1/3)
(+.f64 1/3 x)
(sqrt.f64 (pow.f64 (+.f64 x 1/3) 2))
(+.f64 1/3 x)
(log.f64 (exp.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(cbrt.f64 (pow.f64 (+.f64 x 1/3) 3))
(+.f64 1/3 x)
(expm1.f64 (log1p.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(exp.f64 (log.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(log1p.f64 (expm1.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(fma.f64 1 x 1/3)
(+.f64 1/3 x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/3)
(+.f64 1/3 x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 1/3)
(+.f64 1/3 x)

eval7.0ms (0.3%)

Compiler: Compiled 319 to 235 computations (26.3% saved)

prune10.0ms (0.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	33	4	37
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	5	38

Error

Counts

38 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	21.54%	(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x))
▶	0.81%	(-.f64 (+.f64 1 (+.f64 x 1/3)) 1)
✓	0.01%	(+.f64 x 1/3)
	51.53%	x
	47.66%	1/3

Compiler

Compiled 26 to 20 computations (23.1% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.01%	(+.f64 1 (+.f64 x 1/3))
	0.01%	(+.f64 x 1/3)
✓	0.81%	(-.f64 (+.f64 1 (+.f64 x 1/3)) 1)

Compiler

Compiled 19 to 15 computations (21.1% saved)

series0.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(+.f64 1 (+.f64 x 1/3))
0.0ms	x	@	0	(-.f64 (+.f64 1 (+.f64 x 1/3)) 1)
0.0ms	x	@	0	(+.f64 1 (+.f64 x 1/3))
0.0ms	x	@	-inf	(-.f64 (+.f64 1 (+.f64 x 1/3)) 1)
0.0ms	x	@	inf	(-.f64 (+.f64 1 (+.f64 x 1/3)) 1)

rewrite70.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

1982×	`add-sqr-sqrt`
1952×	`*-un-lft-identity`
1850×	`add-cube-cbrt`
1840×	`add-cbrt-cube`
186×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	188	14
2	2634	14

Stop Event

1×	node limit

Counts

2 → 93

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (+.f64 x 1/3)) 1)
(+.f64 1 (+.f64 x 1/3))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 x -2/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (.f64 (+.f64 x -2/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/3 x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 4/3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 x) -2/3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x -2/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 x 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 x 1/3)) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (cbrt.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1) (/.f64 1 (+.f64 (+.f64 x 1/3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 1/9 (.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 (+.f64 x 1/3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (sqrt.f64 (+.f64 x 4/3)) 1) (-.f64 (sqrt.f64 (+.f64 x 4/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (-.f64 1/9 (.f64 x 1/3))) (+.f64 1/27 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (+.f64 x 1/3) 2) (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 (+.f64 x 1/3) 2)) (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1) (+.f64 (+.f64 x 1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1) (-.f64 (+.f64 x 4/3) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x x (-.f64 1/9 (.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 (+.f64 x 1/3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 4/3) 2) (-.f64 1 (.f64 (+.f64 x 4/3) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (.f64 (+.f64 x -2/3) (+.f64 x -2/3))) (-.f64 1 (+.f64 x -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/9 (.f64 x x)) (-.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (+.f64 1 (-.f64 (.f64 (+.f64 x -2/3) (+.f64 x -2/3)) (+.f64 x -2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x x -1/9)) (neg.f64 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1/27 (pow.f64 x 3))) (neg.f64 (fma.f64 x x (-.f64 1/9 (.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1)) (neg.f64 (+.f64 (+.f64 x 1/3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 (+.f64 x 1/3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x 1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x 1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (+.f64 x 1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x 4/3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x 4/3)) (sqrt.f64 (+.f64 x 4/3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/3)) 2) (cbrt.f64 (+.f64 x 4/3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 1/3)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 x 1/3) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 2/3 x)) (/.f64 (pow.f64 (+.f64 x 1/3) 2) (-.f64 2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 x 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x 4/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 x 4/3)) (sqrt.f64 (+.f64 x 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 x 4/3)) (.f64 (sqrt.f64 (+.f64 x 4/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 x 4/3)) (pow.f64 (cbrt.f64 (+.f64 x 4/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 x 4/3)) 2) (cbrt.f64 (+.f64 x 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 x 4/3)) 2) (.f64 (cbrt.f64 (+.f64 x 4/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (pow.f64 (+.f64 x 1/3) 2)) (/.f64 1 (-.f64 2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1 (pow.f64 (+.f64 x 1/3) 3)) (/.f64 1 (+.f64 1 (.f64 (+.f64 x 1/3) (+.f64 x -2/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 2/3 x) (-.f64 1 (pow.f64 (+.f64 x 1/3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (.f64 (+.f64 x 1/3) (+.f64 x -2/3))) (+.f64 1 (pow.f64 (+.f64 x 1/3) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 x 1/3) 2)) (-.f64 2/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 x 1/3) 3)) (+.f64 1 (.f64 (+.f64 x 1/3) (+.f64 x -2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 x 1/3) 3)) (+.f64 (pow.f64 (+.f64 x 1/3) 2) (-.f64 2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (pow.f64 (+.f64 x 1/3) 2)) 1) (-.f64 2/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 1 (pow.f64 (+.f64 x 1/3) 3)) 1) (+.f64 1 (.f64 (+.f64 x 1/3) (+.f64 x -2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x 1/3) 2) 1) (+.f64 x -2/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) 1/9) (-.f64 (+.f64 1 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) 1/27) (+.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (-.f64 1/9 (.f64 (+.f64 1 x) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 x 1/3) 2))) (neg.f64 (-.f64 2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x 1/3) 3))) (neg.f64 (+.f64 1 (.f64 (+.f64 x 1/3) (+.f64 x -2/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x 4/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x 4/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x 4/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x 4/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x 4/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x 4/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log1p.f64 (+.f64 x 1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (cbrt.f64 (+.f64 x 1/3)) 1)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 x -2/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 x -2/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/3 x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 4/3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 x) -2/3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x -2/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 x 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x 1/3)) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (cbrt.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1) (/.f64 1 (+.f64 (+.f64 x 1/3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 (+.f64 x 1/3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 x 4/3)) 1) (-.f64 (sqrt.f64 (+.f64 x 4/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))) (+.f64 1/27 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (+.f64 x 1/3) 2) (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 (+.f64 x 1/3) 2)) (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1) (+.f64 (+.f64 x 1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1) (-.f64 (+.f64 x 4/3) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (*.f64 x x) (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 (+.f64 x 1/3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 4/3) 2) (-.f64 1 (*.f64 (+.f64 x 4/3) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (+.f64 x -2/3) (+.f64 x -2/3))) (-.f64 1 (+.f64 x -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 x -2/3) (+.f64 x -2/3)) (+.f64 x -2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x x -1/9)) (neg.f64 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1/27 (pow.f64 x 3))) (neg.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1)) (neg.f64 (+.f64 (+.f64 x 1/3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 (+.f64 x 1/3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x 1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x 1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x 1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x 4/3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x 4/3)) (sqrt.f64 (+.f64 x 4/3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/3)) 2) (cbrt.f64 (+.f64 x 4/3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 1/3)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 x 1/3) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 2/3 x)) (/.f64 (pow.f64 (+.f64 x 1/3) 2) (-.f64 2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 4/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 4/3)) (sqrt.f64 (+.f64 x 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 4/3)) (*.f64 (sqrt.f64 (+.f64 x 4/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x 4/3)) (pow.f64 (cbrt.f64 (+.f64 x 4/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/3)) 2) (cbrt.f64 (+.f64 x 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/3)) 2) (*.f64 (cbrt.f64 (+.f64 x 4/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (+.f64 x 1/3) 2)) (/.f64 1 (-.f64 2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (+.f64 x 1/3) 3)) (/.f64 1 (+.f64 1 (*.f64 (+.f64 x 1/3) (+.f64 x -2/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 2/3 x) (-.f64 1 (pow.f64 (+.f64 x 1/3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 (+.f64 x 1/3) (+.f64 x -2/3))) (+.f64 1 (pow.f64 (+.f64 x 1/3) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 x 1/3) 2)) (-.f64 2/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 x 1/3) 3)) (+.f64 1 (*.f64 (+.f64 x 1/3) (+.f64 x -2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 x 1/3) 3)) (+.f64 (pow.f64 (+.f64 x 1/3) 2) (-.f64 2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 x 1/3) 2)) 1) (-.f64 2/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 x 1/3) 3)) 1) (+.f64 1 (*.f64 (+.f64 x 1/3) (+.f64 x -2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x 1/3) 2) 1) (+.f64 x -2/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) 1/9) (-.f64 (+.f64 1 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) 1/27) (+.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) (-.f64 1/9 (*.f64 (+.f64 1 x) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 x 1/3) 2))) (neg.f64 (-.f64 2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x 1/3) 3))) (neg.f64 (+.f64 1 (*.f64 (+.f64 x 1/3) (+.f64 x -2/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x 4/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x 4/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x 4/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x 4/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x 4/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x 4/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (+.f64 x 1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (cbrt.f64 (+.f64 x 1/3)) 1)))))

simplify97.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

864×	`times-frac`
760×	`unswap-sqr`
588×	`associate--r+`
572×	`associate-/l*`
564×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	213	2077
1	520	1889
2	2393	1869

Stop Event

1×	node limit

Counts

117 → 121

Calls

Call 1

Inputs
1/3
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
4/3
(+.f64 4/3 x)
(+.f64 4/3 x)
(+.f64 4/3 x)
x
(+.f64 4/3 x)
(+.f64 4/3 x)
(+.f64 4/3 x)
x
(+.f64 4/3 x)
(+.f64 4/3 x)
(+.f64 4/3 x)
(+.f64 1 (+.f64 x -2/3))
(+.f64 1 (*.f64 (+.f64 x -2/3) 1))
(+.f64 x 1/3)
(+.f64 1/3 x)
(+.f64 (+.f64 x 1/3) 0)
(+.f64 (+.f64 x 4/3) -1)
(+.f64 (+.f64 1 x) -2/3)
(+.f64 (+.f64 x -2/3) 1)
(+.f64 -1 (+.f64 x 4/3))
(*.f64 1 (+.f64 x 1/3))
(*.f64 (+.f64 x 1/3) 1)
(*.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)))
(*.f64 (cbrt.f64 (+.f64 x 1/3)) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (cbrt.f64 (+.f64 x 1/3)))
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))
(*.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1) (/.f64 1 (+.f64 (+.f64 x 1/3) 2)))
(.f64 (+.f64 1/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 1/9 (.f64 x 1/3)))))
(*.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 (+.f64 x 1/3) 2))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 4/3)) 1) (-.f64 (sqrt.f64 (+.f64 x 4/3)) 1))
(/.f64 1 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))) (+.f64 1/27 (pow.f64 x 3))))
(/.f64 1 (/.f64 (+.f64 (+.f64 x 1/3) 2) (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 (+.f64 x 1/3) 2)) (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1) (+.f64 (+.f64 x 1/3) 2))
(/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1) (-.f64 (+.f64 x 4/3) -1))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x 1/3))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 (+.f64 x 1/3) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 4/3) 2) (-.f64 1 (*.f64 (+.f64 x 4/3) -1))))
(/.f64 (-.f64 1 (*.f64 (+.f64 x -2/3) (+.f64 x -2/3))) (-.f64 1 (+.f64 x -2/3)))
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 x -2/3) (+.f64 x -2/3)) (+.f64 x -2/3))))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (neg.f64 (+.f64 x -1/3)))
(/.f64 (neg.f64 (+.f64 1/27 (pow.f64 x 3))) (neg.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1)) (neg.f64 (+.f64 (+.f64 x 1/3) 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 (+.f64 x 1/3) 2))))
(pow.f64 (+.f64 x 1/3) 1)
(pow.f64 (sqrt.f64 (+.f64 x 1/3)) 2)
(pow.f64 (cbrt.f64 (+.f64 x 1/3)) 3)
(pow.f64 (pow.f64 (+.f64 x 1/3) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 x 1/3) 2))
(log.f64 (exp.f64 (+.f64 x 1/3)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x 1/3))))
(cbrt.f64 (pow.f64 (+.f64 x 1/3) 3))
(expm1.f64 (log1p.f64 (+.f64 x 1/3)))
(exp.f64 (log.f64 (+.f64 x 1/3)))
(exp.f64 (*.f64 (log.f64 (+.f64 x 1/3)) 1))
(log1p.f64 (expm1.f64 (+.f64 x 1/3)))
(fma.f64 1 x 1/3)
(fma.f64 1 (+.f64 x 4/3) -1)
(fma.f64 (sqrt.f64 (+.f64 x 4/3)) (sqrt.f64 (+.f64 x 4/3)) -1)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/3)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/3)) 2) (cbrt.f64 (+.f64 x 4/3)) -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 1/3)
(-.f64 (+.f64 (+.f64 x 1/3) 2) 1)
(-.f64 (/.f64 1 (-.f64 2/3 x)) (/.f64 (pow.f64 (+.f64 x 1/3) 2) (-.f64 2/3 x)))
(*.f64 1 (+.f64 x 4/3))
(*.f64 (+.f64 x 4/3) 1)
(*.f64 (sqrt.f64 (+.f64 x 4/3)) (sqrt.f64 (+.f64 x 4/3)))
(.f64 (sqrt.f64 (+.f64 x 4/3)) (.f64 (sqrt.f64 (+.f64 x 4/3)) 1))
(*.f64 (cbrt.f64 (+.f64 x 4/3)) (pow.f64 (cbrt.f64 (+.f64 x 4/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/3)) 2) (cbrt.f64 (+.f64 x 4/3)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/3)) 2) (.f64 (cbrt.f64 (+.f64 x 4/3)) 1))
(*.f64 (-.f64 1 (pow.f64 (+.f64 x 1/3) 2)) (/.f64 1 (-.f64 2/3 x)))
(.f64 (+.f64 1 (pow.f64 (+.f64 x 1/3) 3)) (/.f64 1 (+.f64 1 (.f64 (+.f64 x 1/3) (+.f64 x -2/3)))))
(/.f64 1 (/.f64 (-.f64 2/3 x) (-.f64 1 (pow.f64 (+.f64 x 1/3) 2))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (+.f64 x 1/3) (+.f64 x -2/3))) (+.f64 1 (pow.f64 (+.f64 x 1/3) 3))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1/3) 2)) (-.f64 2/3 x))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1/3) 3)) (+.f64 1 (*.f64 (+.f64 x 1/3) (+.f64 x -2/3))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1/3) 3)) (+.f64 (pow.f64 (+.f64 x 1/3) 2) (-.f64 2/3 x)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 x 1/3) 2)) 1) (-.f64 2/3 x))
(/.f64 (.f64 (+.f64 1 (pow.f64 (+.f64 x 1/3) 3)) 1) (+.f64 1 (.f64 (+.f64 x 1/3) (+.f64 x -2/3))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1/3) 2) 1) (+.f64 x -2/3))
(/.f64 (-.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) 1/9) (-.f64 (+.f64 1 x) 1/3))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) 1/27) (+.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (-.f64 1/9 (.f64 (+.f64 1 x) 1/3))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 x 1/3) 2))) (neg.f64 (-.f64 2/3 x)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x 1/3) 3))) (neg.f64 (+.f64 1 (*.f64 (+.f64 x 1/3) (+.f64 x -2/3)))))
(pow.f64 (+.f64 x 4/3) 1)
(pow.f64 (sqrt.f64 (+.f64 x 4/3)) 2)
(pow.f64 (cbrt.f64 (+.f64 x 4/3)) 3)
(pow.f64 (pow.f64 (+.f64 x 4/3) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 x 4/3) 2))
(log.f64 (exp.f64 (+.f64 x 4/3)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x 4/3))))
(cbrt.f64 (pow.f64 (+.f64 x 4/3) 3))
(expm1.f64 (log1p.f64 (+.f64 x 4/3)))
(exp.f64 (log1p.f64 (+.f64 x 1/3)))
(exp.f64 (*.f64 (log1p.f64 (+.f64 x 1/3)) 1))
(log1p.f64 (expm1.f64 (+.f64 x 4/3)))
(fma.f64 1 (+.f64 x 1/3) 1)
(fma.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (cbrt.f64 (+.f64 x 1/3)) 1)

Outputs
1/3
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
4/3
(+.f64 4/3 x)
(+.f64 x 4/3)
(+.f64 4/3 x)
(+.f64 x 4/3)
(+.f64 4/3 x)
(+.f64 x 4/3)
x
(+.f64 4/3 x)
(+.f64 x 4/3)
(+.f64 4/3 x)
(+.f64 x 4/3)
(+.f64 4/3 x)
(+.f64 x 4/3)
x
(+.f64 4/3 x)
(+.f64 x 4/3)
(+.f64 4/3 x)
(+.f64 x 4/3)
(+.f64 4/3 x)
(+.f64 x 4/3)
(+.f64 1 (+.f64 x -2/3))
(+.f64 1/3 x)
(+.f64 1 (*.f64 (+.f64 x -2/3) 1))
(+.f64 1/3 x)
(+.f64 x 1/3)
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 (+.f64 x 1/3) 0)
(+.f64 1/3 x)
(+.f64 (+.f64 x 4/3) -1)
(+.f64 1/3 x)
(+.f64 (+.f64 1 x) -2/3)
(+.f64 1/3 x)
(+.f64 (+.f64 x -2/3) 1)
(+.f64 1/3 x)
(+.f64 -1 (+.f64 x 4/3))
(+.f64 1/3 x)
(*.f64 1 (+.f64 x 1/3))
(+.f64 1/3 x)
(*.f64 (+.f64 x 1/3) 1)
(+.f64 1/3 x)
(*.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(*.f64 (cbrt.f64 (+.f64 x 1/3)) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2))
(+.f64 1/3 x)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (cbrt.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))
(/.f64 (*.f64 (fma.f64 x x -1/9) 1) (+.f64 x -1/3))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(*.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1) (/.f64 1 (+.f64 (+.f64 x 1/3) 2)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 2)) (/.f64 1 (+.f64 x 7/3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 2)) (+.f64 x 7/3))
(*.f64 (/.f64 (+.f64 x 7/3) (+.f64 x 7/3)) (+.f64 1/3 x))
(.f64 (+.f64 1/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 1/9 (.f64 x 1/3)))))
(.f64 (+.f64 1/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 1/9 (.f64 1/3 x)))))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))
(*.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 (+.f64 x 1/3) 2))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) 1) (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (+.f64 x (+.f64 7/3 (pow.f64 (+.f64 x 4/3) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (+.f64 x (+.f64 (pow.f64 (+.f64 x 4/3) 2) 7/3)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 4/3)) 1) (-.f64 (sqrt.f64 (+.f64 x 4/3)) 1))
(+.f64 1/3 x)
(/.f64 1 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)))
(/.f64 (*.f64 (fma.f64 x x -1/9) 1) (+.f64 x -1/3))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))) (+.f64 1/27 (pow.f64 x 3))))
(.f64 (+.f64 1/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 1/9 (.f64 1/3 x)))))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))
(/.f64 1 (/.f64 (+.f64 (+.f64 x 1/3) 2) (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 2)) (/.f64 1 (+.f64 x 7/3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 2)) (+.f64 x 7/3))
(*.f64 (/.f64 (+.f64 x 7/3) (+.f64 x 7/3)) (+.f64 1/3 x))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 (+.f64 x 1/3) 2)) (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) 1) (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (+.f64 x (+.f64 7/3 (pow.f64 (+.f64 x 4/3) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (+.f64 x (+.f64 (pow.f64 (+.f64 x 4/3) 2) 7/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(/.f64 (*.f64 (fma.f64 x x -1/9) 1) (+.f64 x -1/3))
(/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1) (+.f64 (+.f64 x 1/3) 2))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 2)) (/.f64 1 (+.f64 x 7/3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 2)) (+.f64 x 7/3))
(*.f64 (/.f64 (+.f64 x 7/3) (+.f64 x 7/3)) (+.f64 1/3 x))
(/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1) (-.f64 (+.f64 x 4/3) -1))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 2)) (/.f64 1 (+.f64 x 7/3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 2)) (+.f64 x 7/3))
(*.f64 (/.f64 (+.f64 x 7/3) (+.f64 x 7/3)) (+.f64 1/3 x))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))))
(.f64 (+.f64 1/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 1/9 (.f64 1/3 x)))))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x 1/3))))
(.f64 (+.f64 1/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 1/9 (.f64 1/3 x)))))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))
(/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 (+.f64 x 1/3) 2)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) 1) (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (+.f64 x (+.f64 7/3 (pow.f64 (+.f64 x 4/3) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (+.f64 x (+.f64 (pow.f64 (+.f64 x 4/3) 2) 7/3)))
(/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 4/3) 2) (-.f64 1 (*.f64 (+.f64 x 4/3) -1))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) 1) (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (+.f64 x (+.f64 7/3 (pow.f64 (+.f64 x 4/3) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (+.f64 x (+.f64 (pow.f64 (+.f64 x 4/3) 2) 7/3)))
(/.f64 (-.f64 1 (*.f64 (+.f64 x -2/3) (+.f64 x -2/3))) (-.f64 1 (+.f64 x -2/3)))
(/.f64 (+.f64 1 (*.f64 (+.f64 x -2/3) (-.f64 2/3 x))) (-.f64 5/3 x))
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x))
(/.f64 (*.f64 (fma.f64 x x -1/9) 1) (+.f64 x -1/3))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 x -2/3) (+.f64 x -2/3)) (+.f64 x -2/3))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (+.f64 1 (*.f64 (+.f64 x -2/3) (-.f64 (+.f64 x -2/3) 1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (+.f64 1 (*.f64 (+.f64 x -2/3) (+.f64 x -5/3))))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (neg.f64 (+.f64 x -1/3)))
(/.f64 (*.f64 (fma.f64 x x -1/9) 1) (+.f64 x -1/3))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(/.f64 (neg.f64 (+.f64 1/27 (pow.f64 x 3))) (neg.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3)))))
(.f64 (+.f64 1/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 1/9 (.f64 1/3 x)))))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1)) (neg.f64 (+.f64 (+.f64 x 1/3) 2)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 2)) (/.f64 1 (+.f64 x 7/3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 2)) (+.f64 x 7/3))
(*.f64 (/.f64 (+.f64 x 7/3) (+.f64 x 7/3)) (+.f64 1/3 x))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 (+.f64 x 1/3) 2))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) 1) (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (+.f64 x (+.f64 7/3 (pow.f64 (+.f64 x 4/3) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (+.f64 x (+.f64 (pow.f64 (+.f64 x 4/3) 2) 7/3)))
(pow.f64 (+.f64 x 1/3) 1)
(+.f64 1/3 x)
(pow.f64 (sqrt.f64 (+.f64 x 1/3)) 2)
(+.f64 1/3 x)
(pow.f64 (cbrt.f64 (+.f64 x 1/3)) 3)
(+.f64 1/3 x)
(pow.f64 (pow.f64 (+.f64 x 1/3) 3) 1/3)
(+.f64 1/3 x)
(sqrt.f64 (pow.f64 (+.f64 x 1/3) 2))
(+.f64 1/3 x)
(log.f64 (exp.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x 1/3))))
(+.f64 1/3 x)
(cbrt.f64 (pow.f64 (+.f64 x 1/3) 3))
(+.f64 1/3 x)
(expm1.f64 (log1p.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(exp.f64 (log.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(exp.f64 (*.f64 (log.f64 (+.f64 x 1/3)) 1))
(+.f64 1/3 x)
(log1p.f64 (expm1.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(fma.f64 1 x 1/3)
(+.f64 1/3 x)
(fma.f64 1 (+.f64 x 4/3) -1)
(+.f64 1/3 x)
(fma.f64 (sqrt.f64 (+.f64 x 4/3)) (sqrt.f64 (+.f64 x 4/3)) -1)
(+.f64 1/3 x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/3)
(+.f64 1/3 x)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/3)) 2) (cbrt.f64 (+.f64 x 4/3)) -1)
(+.f64 1/3 x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 1/3)
(+.f64 1/3 x)
(-.f64 (+.f64 (+.f64 x 1/3) 2) 1)
(+.f64 x 4/3)
(-.f64 (/.f64 1 (-.f64 2/3 x)) (/.f64 (pow.f64 (+.f64 x 1/3) 2) (-.f64 2/3 x)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/3 x) 2)) (-.f64 2/3 x))
(*.f64 (/.f64 (+.f64 x 4/3) (+.f64 x -2/3)) (+.f64 x -2/3))
(*.f64 1 (+.f64 x 4/3))
(+.f64 x 4/3)
(*.f64 (+.f64 x 4/3) 1)
(+.f64 x 4/3)
(*.f64 (sqrt.f64 (+.f64 x 4/3)) (sqrt.f64 (+.f64 x 4/3)))
(+.f64 x 4/3)
(.f64 (sqrt.f64 (+.f64 x 4/3)) (.f64 (sqrt.f64 (+.f64 x 4/3)) 1))
(+.f64 x 4/3)
(*.f64 (cbrt.f64 (+.f64 x 4/3)) (pow.f64 (cbrt.f64 (+.f64 x 4/3)) 2))
(+.f64 x 4/3)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/3)) 2) (cbrt.f64 (+.f64 x 4/3)))
(+.f64 x 4/3)
(.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/3)) 2) (.f64 (cbrt.f64 (+.f64 x 4/3)) 1))
(+.f64 x 4/3)
(*.f64 (-.f64 1 (pow.f64 (+.f64 x 1/3) 2)) (/.f64 1 (-.f64 2/3 x)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/3 x) 2)) (-.f64 2/3 x))
(*.f64 (/.f64 (+.f64 x 4/3) (+.f64 x -2/3)) (+.f64 x -2/3))
(.f64 (+.f64 1 (pow.f64 (+.f64 x 1/3) 3)) (/.f64 1 (+.f64 1 (.f64 (+.f64 x 1/3) (+.f64 x -2/3)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1/3 x) 3)) (+.f64 1 (*.f64 (+.f64 x -2/3) (+.f64 1/3 x))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1/3 x) 3)) (fma.f64 (+.f64 x -2/3) (+.f64 1/3 x) 1))
(/.f64 1 (/.f64 (-.f64 2/3 x) (-.f64 1 (pow.f64 (+.f64 x 1/3) 2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/3 x) 2)) (-.f64 2/3 x))
(*.f64 (/.f64 (+.f64 x 4/3) (+.f64 x -2/3)) (+.f64 x -2/3))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (+.f64 x 1/3) (+.f64 x -2/3))) (+.f64 1 (pow.f64 (+.f64 x 1/3) 3))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1/3 x) 3)) (+.f64 1 (*.f64 (+.f64 x -2/3) (+.f64 1/3 x))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1/3 x) 3)) (fma.f64 (+.f64 x -2/3) (+.f64 1/3 x) 1))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1/3) 2)) (-.f64 2/3 x))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/3 x) 2)) (-.f64 2/3 x))
(*.f64 (/.f64 (+.f64 x 4/3) (+.f64 x -2/3)) (+.f64 x -2/3))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1/3) 3)) (+.f64 1 (*.f64 (+.f64 x 1/3) (+.f64 x -2/3))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1/3 x) 3)) (+.f64 1 (*.f64 (+.f64 x -2/3) (+.f64 1/3 x))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1/3 x) 3)) (fma.f64 (+.f64 x -2/3) (+.f64 1/3 x) 1))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1/3) 3)) (+.f64 (pow.f64 (+.f64 x 1/3) 2) (-.f64 2/3 x)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1/3 x) 3)) (+.f64 (pow.f64 (+.f64 1/3 x) 2) (-.f64 2/3 x)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 x 1/3) 2)) 1) (-.f64 2/3 x))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/3 x) 2)) (-.f64 2/3 x))
(*.f64 (/.f64 (+.f64 x 4/3) (+.f64 x -2/3)) (+.f64 x -2/3))
(/.f64 (.f64 (+.f64 1 (pow.f64 (+.f64 x 1/3) 3)) 1) (+.f64 1 (.f64 (+.f64 x 1/3) (+.f64 x -2/3))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1/3 x) 3)) (+.f64 1 (*.f64 (+.f64 x -2/3) (+.f64 1/3 x))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1/3 x) 3)) (fma.f64 (+.f64 x -2/3) (+.f64 1/3 x) 1))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1/3) 2) 1) (+.f64 x -2/3))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/3 x) 2)) (-.f64 2/3 x))
(*.f64 (/.f64 (+.f64 x 4/3) (+.f64 x -2/3)) (+.f64 x -2/3))
(/.f64 (-.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) 1/9) (-.f64 (+.f64 1 x) 1/3))
(/.f64 (fma.f64 (+.f64 x 1) (+.f64 x 1) -1/9) (+.f64 1 (-.f64 x 1/3)))
(/.f64 (fma.f64 (+.f64 x 1) (+.f64 x 1) -1/9) (+.f64 x 2/3))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) 1/27) (+.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (-.f64 1/9 (.f64 (+.f64 1 x) 1/3))))
(/.f64 (+.f64 1/27 (pow.f64 (+.f64 x 1) 3)) (fma.f64 (+.f64 x 1) (+.f64 x 1) (-.f64 1/9 (*.f64 1/3 (+.f64 x 1)))))
(/.f64 (+.f64 1/27 (pow.f64 (+.f64 x 1) 3)) (+.f64 (fma.f64 (+.f64 x 1) (+.f64 x 1) 1/9) (*.f64 (+.f64 x 1) -1/3)))
(/.f64 (+.f64 1/27 (pow.f64 (+.f64 x 1) 3)) (+.f64 1/9 (*.f64 (+.f64 x 1) (+.f64 x 2/3))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 x 1/3) 2))) (neg.f64 (-.f64 2/3 x)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/3 x) 2)) (-.f64 2/3 x))
(*.f64 (/.f64 (+.f64 x 4/3) (+.f64 x -2/3)) (+.f64 x -2/3))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x 1/3) 3))) (neg.f64 (+.f64 1 (*.f64 (+.f64 x 1/3) (+.f64 x -2/3)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1/3 x) 3)) (+.f64 1 (*.f64 (+.f64 x -2/3) (+.f64 1/3 x))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1/3 x) 3)) (fma.f64 (+.f64 x -2/3) (+.f64 1/3 x) 1))
(pow.f64 (+.f64 x 4/3) 1)
(+.f64 x 4/3)
(pow.f64 (sqrt.f64 (+.f64 x 4/3)) 2)
(+.f64 x 4/3)
(pow.f64 (cbrt.f64 (+.f64 x 4/3)) 3)
(+.f64 x 4/3)
(pow.f64 (pow.f64 (+.f64 x 4/3) 3) 1/3)
(+.f64 x 4/3)
(sqrt.f64 (pow.f64 (+.f64 x 4/3) 2))
(+.f64 x 4/3)
(log.f64 (exp.f64 (+.f64 x 4/3)))
(+.f64 x 4/3)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x 4/3))))
(+.f64 x 4/3)
(cbrt.f64 (pow.f64 (+.f64 x 4/3) 3))
(+.f64 x 4/3)
(expm1.f64 (log1p.f64 (+.f64 x 4/3)))
(+.f64 x 4/3)
(exp.f64 (log1p.f64 (+.f64 x 1/3)))
(exp.f64 (log1p.f64 (+.f64 1/3 x)))
(exp.f64 (*.f64 (log1p.f64 (+.f64 x 1/3)) 1))
(exp.f64 (log1p.f64 (+.f64 1/3 x)))
(log1p.f64 (expm1.f64 (+.f64 x 4/3)))
(+.f64 x 4/3)
(fma.f64 1 (+.f64 x 1/3) 1)
(+.f64 x 4/3)
(fma.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)) 1)
(+.f64 x 4/3)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (cbrt.f64 (+.f64 x 1/3)) 1)
(+.f64 x 4/3)

localize9.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.01%	(-.f64 1/9 (*.f64 x x))
✓	0.02%	(-.f64 1/3 x)
✓	20.03%	(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x))

Compiler

Compiled 24 to 13 computations (45.8% saved)

series1.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x))
0.0ms	x	@	inf	(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x))
0.0ms	x	@	-inf	(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x))
0.0ms	x	@	inf	(-.f64 1/9 (*.f64 x x))
0.0ms	x	@	0	(-.f64 1/9 (*.f64 x x))

rewrite119.0ms (5%)

Algorithm

1×	batch-egg-rewrite

Rules

1552×	`associate-/r*`
1358×	`associate-/l*`
1068×	`associate-/r/`
976×	`*-commutative`
718×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	45
1	212	27
2	3018	27

Stop Event

1×	node limit

Counts

3 → 275

Calls

Call 1

Inputs
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x))
(-.f64 1/3 x)
(-.f64 1/9 (*.f64 x x))

Outputs

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simplify134.0ms (5.6%)

Algorithm

1×	egg-herbie

Rules

1596×	`associate-/r*`
1104×	`associate-*l/`
1056×	`distribute-lft-in`
1052×	`associate-*r/`
950×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	664	11495
1	2286	11239

Stop Event

1×	node limit

Counts

311 → 463

Calls

Call 1

Inputs
1/3
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
1/3
(+.f64 1/3 (*.f64 -1 x))
(+.f64 1/3 (*.f64 -1 x))
(+.f64 1/3 (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 1/3 (*.f64 -1 x))
(+.f64 1/3 (*.f64 -1 x))
(+.f64 1/3 (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 1/3 (*.f64 -1 x))
(+.f64 1/3 (*.f64 -1 x))
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(/.f64 (-.f64 1/531441 (pow.f64 (pow.f64 x 4) 3)) (.f64 (+.f64 1/9 (.f64 x x)) (+.f64 1/6561 (+.f64 (.f64 (pow.f64 x 4) (pow.f64 x 4)) (.f64 (pow.f64 x 4) 1/81)))))
(/.f64 (/.f64 (-.f64 1/81 (pow.f64 x 4)) 1) (+.f64 1/9 (*.f64 x x)))
(/.f64 (/.f64 (-.f64 1/81 (pow.f64 x 4)) (sqrt.f64 (+.f64 1/9 (.f64 x x)))) (sqrt.f64 (+.f64 1/9 (.f64 x x))))
(/.f64 (/.f64 (-.f64 1/81 (pow.f64 x 4)) (.f64 (cbrt.f64 (+.f64 1/9 (.f64 x x))) (cbrt.f64 (+.f64 1/9 (.f64 x x))))) (cbrt.f64 (+.f64 1/9 (.f64 x x))))
(/.f64 (/.f64 (-.f64 1/729 (pow.f64 x 6)) 1) (+.f64 1/81 (.f64 (.f64 x x) (+.f64 1/9 (*.f64 x x)))))
(/.f64 (/.f64 (-.f64 1/729 (pow.f64 x 6)) (sqrt.f64 (+.f64 1/81 (.f64 (.f64 x x) (+.f64 1/9 (.f64 x x)))))) (sqrt.f64 (+.f64 1/81 (.f64 (.f64 x x) (+.f64 1/9 (.f64 x x))))))
(/.f64 (/.f64 (-.f64 1/729 (pow.f64 x 6)) (.f64 (cbrt.f64 (+.f64 1/81 (.f64 (.f64 x x) (+.f64 1/9 (.f64 x x))))) (cbrt.f64 (+.f64 1/81 (.f64 (.f64 x x) (+.f64 1/9 (.f64 x x))))))) (cbrt.f64 (+.f64 1/81 (.f64 (.f64 x x) (+.f64 1/9 (.f64 x x))))))
(pow.f64 (-.f64 1/9 (*.f64 x x)) 1)
(pow.f64 (sqrt.f64 (-.f64 1/9 (*.f64 x x))) 2)
(pow.f64 (cbrt.f64 (-.f64 1/9 (*.f64 x x))) 3)
(pow.f64 (pow.f64 (-.f64 1/9 (*.f64 x x)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 1/9 (*.f64 x x)) 2))
(log.f64 (exp.f64 (-.f64 1/9 (*.f64 x x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1/9 (*.f64 x x)))))
(cbrt.f64 (pow.f64 (-.f64 1/9 (*.f64 x x)) 3))
(expm1.f64 (log.f64 (-.f64 10/9 (*.f64 x x))))
(exp.f64 (log.f64 (-.f64 1/9 (*.f64 x x))))
(log1p.f64 (expm1.f64 (-.f64 1/9 (*.f64 x x))))

Outputs
1/3
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
1/3
(+.f64 1/3 (*.f64 -1 x))
(-.f64 1/3 x)
(+.f64 1/3 (*.f64 -1 x))
(-.f64 1/3 x)
(+.f64 1/3 (*.f64 -1 x))
(-.f64 1/3 x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 1/3 (*.f64 -1 x))
(-.f64 1/3 x)
(+.f64 1/3 (*.f64 -1 x))
(-.f64 1/3 x)
(+.f64 1/3 (*.f64 -1 x))
(-.f64 1/3 x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 1/3 (*.f64 -1 x))
(-.f64 1/3 x)
(+.f64 1/3 (*.f64 -1 x))
(-.f64 1/3 x)
(+.f64 1/3 (*.f64 -1 x))
(-.f64 1/3 x)
1/9
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(-.f64 1/9 (*.f64 x x))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(-.f64 1/9 (*.f64 x x))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(-.f64 1/9 (*.f64 x x))
(*.f64 -1 (pow.f64 x 2))
(*.f64 x (neg.f64 x))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(-.f64 1/9 (*.f64 x x))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(-.f64 1/9 (*.f64 x x))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(-.f64 1/9 (*.f64 x x))
(*.f64 -1 (pow.f64 x 2))
(*.f64 x (neg.f64 x))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(-.f64 1/9 (*.f64 x x))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(-.f64 1/9 (*.f64 x x))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(-.f64 1/9 (*.f64 x x))
(+.f64 x 1/3)
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 (/.f64 -1/9 (+.f64 -1/3 x)) (neg.f64 (/.f64 x (/.f64 (-.f64 1/3 x) x))))
(-.f64 (/.f64 -1/9 (+.f64 x -1/3)) (*.f64 (/.f64 x (-.f64 1/3 x)) x))
(-.f64 (/.f64 -1/9 (+.f64 x -1/3)) (/.f64 (*.f64 x x) (-.f64 1/3 x)))
(+.f64 (/.f64 -1/9 (+.f64 -1/3 x)) (*.f64 1 (neg.f64 (/.f64 x (/.f64 (-.f64 1/3 x) x)))))
(-.f64 (/.f64 -1/9 (+.f64 x -1/3)) (*.f64 (/.f64 x (-.f64 1/3 x)) x))
(-.f64 (/.f64 -1/9 (+.f64 x -1/3)) (/.f64 (*.f64 x x) (-.f64 1/3 x)))
(+.f64 (/.f64 -1/9 (+.f64 -1/3 x)) (.f64 (/.f64 1 (-.f64 1/3 x)) (.f64 x (neg.f64 x))))
(fma.f64 (/.f64 1 (-.f64 1/3 x)) (*.f64 x (neg.f64 x)) (/.f64 -1/9 (+.f64 x -1/3)))
(fma.f64 (/.f64 -1 (+.f64 x -1/3)) (*.f64 x (neg.f64 x)) (/.f64 -1/9 (+.f64 x -1/3)))
(+.f64 (neg.f64 (/.f64 x (/.f64 (-.f64 1/3 x) x))) (/.f64 -1/9 (+.f64 -1/3 x)))
(-.f64 (/.f64 -1/9 (+.f64 x -1/3)) (*.f64 (/.f64 x (-.f64 1/3 x)) x))
(-.f64 (/.f64 -1/9 (+.f64 x -1/3)) (/.f64 (*.f64 x x) (-.f64 1/3 x)))
(+.f64 (.f64 (/.f64 1 (-.f64 1/3 x)) (.f64 x (neg.f64 x))) (/.f64 -1/9 (+.f64 -1/3 x)))
(fma.f64 (/.f64 1 (-.f64 1/3 x)) (*.f64 x (neg.f64 x)) (/.f64 -1/9 (+.f64 x -1/3)))
(fma.f64 (/.f64 -1 (+.f64 x -1/3)) (*.f64 x (neg.f64 x)) (/.f64 -1/9 (+.f64 x -1/3)))
(+.f64 (.f64 (/.f64 (-.f64 1/9 (.f64 x x)) (-.f64 1/9 (.f64 x x))) x) (.f64 (/.f64 (-.f64 1/9 (.f64 x x)) (-.f64 1/9 (.f64 x x))) 1/3))
(+.f64 1/3 x)
(+.f64 (.f64 (/.f64 (-.f64 1/9 (.f64 x x)) (-.f64 1/9 (.f64 x x))) 1/3) (.f64 (/.f64 (-.f64 1/9 (.f64 x x)) (-.f64 1/9 (.f64 x x))) x))
(+.f64 1/3 x)
(+.f64 (.f64 (/.f64 (-.f64 1/9 (.f64 x x)) (-.f64 1/9 (.f64 x x))) (/.f64 -1/9 (+.f64 -1/3 x))) (.f64 (/.f64 (-.f64 1/9 (.f64 x x)) (-.f64 1/9 (.f64 x x))) (neg.f64 (/.f64 x (/.f64 (-.f64 1/3 x) x)))))
(-.f64 (/.f64 -1/9 (+.f64 x -1/3)) (*.f64 (/.f64 x (-.f64 1/3 x)) x))
(-.f64 (/.f64 -1/9 (+.f64 x -1/3)) (/.f64 (*.f64 x x) (-.f64 1/3 x)))
(+.f64 (.f64 (/.f64 (-.f64 1/9 (.f64 x x)) (-.f64 1/27 (pow.f64 x 3))) 1/9) (.f64 (/.f64 (-.f64 1/9 (.f64 x x)) (-.f64 1/27 (pow.f64 x 3))) (*.f64 x (+.f64 x 1/3))))
(.f64 (/.f64 (-.f64 1/9 (.f64 x x)) (-.f64 1/27 (pow.f64 x 3))) (+.f64 1/9 (*.f64 x (+.f64 1/3 x))))
(+.f64 (.f64 (/.f64 (-.f64 1/9 (.f64 x x)) (-.f64 1/27 (pow.f64 x 3))) (.f64 x (+.f64 x 1/3))) (.f64 (/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/27 (pow.f64 x 3))) 1/9))
(.f64 (/.f64 (-.f64 1/9 (.f64 x x)) (-.f64 1/27 (pow.f64 x 3))) (+.f64 1/9 (*.f64 x (+.f64 1/3 x))))
(+.f64 (.f64 (/.f64 (-.f64 1/9 (.f64 x x)) (-.f64 1/27 (pow.f64 x 3))) (+.f64 1/9 (.f64 x x))) (.f64 (/.f64 (-.f64 1/9 (.f64 x x)) (-.f64 1/27 (pow.f64 x 3))) (.f64 x 1/3)))
(.f64 (/.f64 (-.f64 1/9 (.f64 x x)) (-.f64 1/27 (pow.f64 x 3))) (+.f64 1/9 (*.f64 x (+.f64 1/3 x))))
(-.f64 1/3 (neg.f64 x))
(+.f64 1/3 x)
(-.f64 (/.f64 -1/9 (+.f64 -1/3 x)) (/.f64 x (/.f64 (-.f64 1/3 x) x)))
(-.f64 (/.f64 -1/9 (+.f64 x -1/3)) (*.f64 (/.f64 x (-.f64 1/3 x)) x))
(-.f64 (/.f64 -1/9 (+.f64 x -1/3)) (/.f64 (*.f64 x x) (-.f64 1/3 x)))
(-.f64 (exp.f64 (log.f64 (+.f64 4/3 x))) 1)
(+.f64 1/3 x)
(-.f64 (exp.f64 (log1p.f64 x)) 2/3)
(+.f64 (exp.f64 (log1p.f64 x)) -2/3)
(-.f64 (+.f64 1/3 (exp.f64 (log1p.f64 x))) 1)
(+.f64 (exp.f64 (log1p.f64 x)) -2/3)
(.f64 (-.f64 1/9 (.f64 x x)) (/.f64 1 (-.f64 1/3 x)))
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x))
(*.f64 1 (+.f64 x 1/3))
(+.f64 1/3 x)
(*.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(.f64 (sqrt.f64 (-.f64 1/9 (.f64 x x))) (.f64 (sqrt.f64 (-.f64 1/9 (.f64 x x))) (/.f64 1 (-.f64 1/3 x))))
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x))
(*.f64 (cbrt.f64 (+.f64 x 1/3)) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2))
(+.f64 1/3 x)
(.f64 (cbrt.f64 (+.f64 x 1/3)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1/9 (.f64 x x))) 2) (pow.f64 (cbrt.f64 (-.f64 1/3 x)) 2)))
(.f64 (cbrt.f64 (+.f64 1/3 x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1/9 (.f64 x x))) 2) (pow.f64 (cbrt.f64 (-.f64 1/3 x)) 2)))
(/.f64 (.f64 (cbrt.f64 (+.f64 1/3 x)) (pow.f64 (cbrt.f64 (-.f64 1/9 (.f64 x x))) 2)) (pow.f64 (cbrt.f64 (-.f64 1/3 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (cbrt.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(.f64 (pow.f64 (cbrt.f64 (-.f64 1/9 (.f64 x x))) 2) (.f64 (cbrt.f64 (-.f64 1/9 (.f64 x x))) (/.f64 1 (-.f64 1/3 x))))
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x))
(*.f64 (+.f64 x 1/3) 1)
(+.f64 1/3 x)
(.f64 (+.f64 x 1/3) (/.f64 (-.f64 1/9 (.f64 x x)) (-.f64 1/9 (*.f64 x x))))
(+.f64 1/3 x)
(.f64 (/.f64 1 (-.f64 1/3 x)) (-.f64 1/9 (.f64 x x)))
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x))
(.f64 (+.f64 1/9 (.f64 x (+.f64 x 1/3))) (/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/27 (pow.f64 x 3))))
(.f64 (/.f64 (-.f64 1/9 (.f64 x x)) (-.f64 1/27 (pow.f64 x 3))) (+.f64 1/9 (*.f64 x (+.f64 1/3 x))))
(.f64 (+.f64 -1/9 (.f64 x x)) (/.f64 1 (+.f64 -1/3 x)))
(.f64 (+.f64 -1/9 (.f64 x x)) (/.f64 1 (+.f64 x -1/3)))
(.f64 (.f64 (sqrt.f64 (-.f64 1/9 (.f64 x x))) (/.f64 1 (-.f64 1/3 x))) (sqrt.f64 (-.f64 1/9 (.f64 x x))))
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x))
(.f64 (.f64 (cbrt.f64 (-.f64 1/9 (.f64 x x))) (/.f64 1 (-.f64 1/3 x))) (pow.f64 (cbrt.f64 (-.f64 1/9 (.f64 x x))) 2))
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x))
(.f64 (/.f64 1 (sqrt.f64 (-.f64 1/3 x))) (/.f64 (-.f64 1/9 (.f64 x x)) (sqrt.f64 (-.f64 1/3 x))))
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1/3 x)) 2)) (/.f64 (-.f64 1/9 (.f64 x x)) (cbrt.f64 (-.f64 1/3 x))))
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x))
(.f64 (/.f64 (-.f64 1/9 (.f64 x x)) (sqrt.f64 (-.f64 1/3 x))) (/.f64 1 (sqrt.f64 (-.f64 1/3 x))))
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x))
(.f64 (/.f64 (-.f64 1/9 (.f64 x x)) (cbrt.f64 (-.f64 1/3 x))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1/3 x)) 2)))
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x))
(.f64 (/.f64 1 (-.f64 1/9 (.f64 x x))) (.f64 (-.f64 1/9 (.f64 x x)) (+.f64 x 1/3)))
(+.f64 1/3 x)
(.f64 (/.f64 1 (-.f64 1/27 (pow.f64 x 3))) (.f64 (-.f64 1/9 (.f64 x x)) (+.f64 1/9 (.f64 x (+.f64 x 1/3)))))
(.f64 (/.f64 (-.f64 1/9 (.f64 x x)) (-.f64 1/27 (pow.f64 x 3))) (+.f64 1/9 (*.f64 x (+.f64 1/3 x))))
(.f64 (/.f64 (-.f64 1/9 (.f64 x x)) (-.f64 1/9 (*.f64 x x))) (+.f64 x 1/3))
(+.f64 1/3 x)
(.f64 (/.f64 (-.f64 1/9 (.f64 x x)) (-.f64 1/27 (pow.f64 x 3))) (+.f64 1/9 (*.f64 x (+.f64 x 1/3))))
(.f64 (/.f64 (-.f64 1/9 (.f64 x x)) (-.f64 1/27 (pow.f64 x 3))) (+.f64 1/9 (*.f64 x (+.f64 1/3 x))))
(.f64 (/.f64 1 (+.f64 -1/3 x)) (+.f64 -1/9 (.f64 x x)))
(.f64 (+.f64 -1/9 (.f64 x x)) (/.f64 1 (+.f64 x -1/3)))
(.f64 (/.f64 (sqrt.f64 (-.f64 1/9 (.f64 x x))) 1) (/.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (-.f64 1/3 x))))
(.f64 (sqrt.f64 (-.f64 1/9 (.f64 x x))) (/.f64 (sqrt.f64 (+.f64 1/3 x)) (sqrt.f64 (-.f64 1/3 x))))
(.f64 (/.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (-.f64 1/3 x))) (sqrt.f64 (-.f64 1/9 (.f64 x x))))
(.f64 (sqrt.f64 (-.f64 1/9 (.f64 x x))) (/.f64 (sqrt.f64 (+.f64 1/3 x)) (sqrt.f64 (-.f64 1/3 x))))
(.f64 (/.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (-.f64 1/3 x))) (/.f64 (sqrt.f64 (-.f64 1/9 (.f64 x x))) 1))
(.f64 (sqrt.f64 (-.f64 1/9 (.f64 x x))) (/.f64 (sqrt.f64 (+.f64 1/3 x)) (sqrt.f64 (-.f64 1/3 x))))
(.f64 (/.f64 (sqrt.f64 (-.f64 1/9 (.f64 x x))) (pow.f64 (cbrt.f64 (-.f64 1/3 x)) 2)) (/.f64 (sqrt.f64 (-.f64 1/9 (*.f64 x x))) (cbrt.f64 (-.f64 1/3 x))))
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x))
(.f64 (/.f64 (sqrt.f64 (-.f64 1/9 (.f64 x x))) (cbrt.f64 (-.f64 1/3 x))) (/.f64 (sqrt.f64 (-.f64 1/9 (*.f64 x x))) (pow.f64 (cbrt.f64 (-.f64 1/3 x)) 2)))
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1/9 (.f64 x x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1/9 (*.f64 x x))) (-.f64 1/3 x)))
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x))
(.f64 (/.f64 (cbrt.f64 (-.f64 1/9 (.f64 x x))) (-.f64 1/3 x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1/9 (*.f64 x x))) 2) 1))
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1/9 (.f64 x x))) 2) (sqrt.f64 (-.f64 1/3 x))) (/.f64 (cbrt.f64 (+.f64 x 1/3)) (cbrt.f64 (sqrt.f64 (-.f64 1/3 x)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1/9 (.f64 x x))) 2) (sqrt.f64 (-.f64 1/3 x))) (/.f64 (cbrt.f64 (+.f64 1/3 x)) (cbrt.f64 (sqrt.f64 (-.f64 1/3 x)))))
(.f64 (/.f64 (cbrt.f64 (+.f64 x 1/3)) (cbrt.f64 (sqrt.f64 (-.f64 1/3 x)))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1/9 (.f64 x x))) 2) (sqrt.f64 (-.f64 1/3 x))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1/9 (.f64 x x))) 2) (sqrt.f64 (-.f64 1/3 x))) (/.f64 (cbrt.f64 (+.f64 1/3 x)) (cbrt.f64 (sqrt.f64 (-.f64 1/3 x)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1/9 (.f64 x x))) 2) (pow.f64 (cbrt.f64 (-.f64 1/3 x)) 2)) (cbrt.f64 (+.f64 x 1/3)))
(.f64 (cbrt.f64 (+.f64 1/3 x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1/9 (.f64 x x))) 2) (pow.f64 (cbrt.f64 (-.f64 1/3 x)) 2)))
(/.f64 (.f64 (cbrt.f64 (+.f64 1/3 x)) (pow.f64 (cbrt.f64 (-.f64 1/9 (.f64 x x))) 2)) (pow.f64 (cbrt.f64 (-.f64 1/3 x)) 2))
(.f64 (/.f64 (-.f64 1/9 (.f64 x x)) (sqrt.f64 (-.f64 1/9 (*.f64 x x)))) (/.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (-.f64 1/3 x))))
(.f64 (/.f64 (sqrt.f64 (+.f64 1/3 x)) (sqrt.f64 (-.f64 1/3 x))) (/.f64 (-.f64 1/9 (.f64 x x)) (sqrt.f64 (-.f64 1/9 (*.f64 x x)))))
(.f64 (/.f64 (-.f64 1/9 (.f64 x x)) (pow.f64 (cbrt.f64 (-.f64 1/9 (.f64 x x))) 2)) (/.f64 (+.f64 x 1/3) (cbrt.f64 (-.f64 1/9 (.f64 x x)))))
(+.f64 1/3 x)
(.f64 (/.f64 (-.f64 1/9 (.f64 x x)) (+.f64 -1/9 (*.f64 x x))) (neg.f64 (+.f64 x 1/3)))
(.f64 (/.f64 (-.f64 1/9 (.f64 x x)) (+.f64 -1/9 (*.f64 x x))) (+.f64 (neg.f64 x) -1/3))
(.f64 (/.f64 (-.f64 1/9 (.f64 x x)) (+.f64 -1/9 (*.f64 x x))) (-.f64 -1/3 x))
(.f64 (/.f64 (+.f64 -1/9 (.f64 x x)) (+.f64 -1/9 (*.f64 x x))) (+.f64 x 1/3))
(+.f64 1/3 x)
(.f64 (/.f64 (-.f64 1/9 (.f64 x x)) (-.f64 1/81 (pow.f64 x 4))) (.f64 (+.f64 1/9 (.f64 x x)) (+.f64 x 1/3)))
(.f64 (/.f64 (-.f64 1/9 (.f64 x x)) (-.f64 1/81 (pow.f64 x 4))) (.f64 (+.f64 1/3 x) (+.f64 1/9 (.f64 x x))))
(.f64 (+.f64 1/3 x) (/.f64 (.f64 (-.f64 1/9 (.f64 x x)) (+.f64 1/9 (.f64 x x))) (-.f64 1/81 (pow.f64 x 4))))
(.f64 (/.f64 (-.f64 1/9 (.f64 x x)) (-.f64 1/729 (pow.f64 x 6))) (.f64 (+.f64 x 1/3) (+.f64 1/81 (.f64 (.f64 x x) (+.f64 1/9 (.f64 x x))))))
(.f64 (/.f64 (-.f64 1/9 (.f64 x x)) (-.f64 1/729 (pow.f64 x 6))) (.f64 (+.f64 1/3 x) (+.f64 1/81 (.f64 x (.f64 x (+.f64 1/9 (.f64 x x)))))))
(.f64 (+.f64 1/81 (.f64 (.f64 x x) (+.f64 1/9 (.f64 x x)))) (/.f64 (.f64 (+.f64 1/3 x) (-.f64 1/9 (.f64 x x))) (-.f64 1/729 (pow.f64 x 6))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1/9 (.f64 x x))) 2) (-.f64 1/3 x)) (cbrt.f64 (-.f64 1/9 (*.f64 x x))))
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(.f64 (/.f64 1 (+.f64 1/81 (.f64 (.f64 x x) (+.f64 1/9 (.f64 x x))))) (-.f64 1/729 (pow.f64 x 6)))
(/.f64 (-.f64 1/729 (pow.f64 x 6)) (+.f64 1/81 (.f64 x (.f64 x (+.f64 1/9 (*.f64 x x))))))
(/.f64 (-.f64 1/729 (pow.f64 x 6)) (+.f64 1/81 (.f64 (.f64 x x) (+.f64 1/9 (*.f64 x x)))))
(.f64 (/.f64 (-.f64 1/81 (pow.f64 x 4)) (-.f64 1/81 (pow.f64 x 4))) (-.f64 1/9 (.f64 x x)))
(-.f64 1/9 (*.f64 x x))
(.f64 (/.f64 (-.f64 1/81 (pow.f64 x 4)) (+.f64 1/729 (pow.f64 x 6))) (-.f64 (+.f64 (pow.f64 x 4) 1/81) (.f64 1/9 (*.f64 x x))))
(.f64 (+.f64 (pow.f64 x 4) (-.f64 1/81 (.f64 1/9 (*.f64 x x)))) (/.f64 (-.f64 1/81 (pow.f64 x 4)) (+.f64 1/729 (pow.f64 x 6))))
(.f64 (+.f64 1/81 (+.f64 (pow.f64 x 4) (.f64 -1/9 (*.f64 x x)))) (/.f64 (-.f64 1/81 (pow.f64 x 4)) (+.f64 1/729 (pow.f64 x 6))))
(.f64 (/.f64 (-.f64 1/729 (pow.f64 x 6)) (-.f64 1/6561 (.f64 (.f64 (.f64 x x) (+.f64 1/9 (.f64 x x))) (.f64 (.f64 x x) (+.f64 1/9 (.f64 x x)))))) (-.f64 1/81 (.f64 (.f64 x x) (+.f64 1/9 (*.f64 x x)))))
(.f64 (-.f64 1/81 (.f64 x (.f64 x (+.f64 1/9 (.f64 x x))))) (/.f64 (-.f64 1/729 (pow.f64 x 6)) (-.f64 1/6561 (.f64 (pow.f64 x 4) (.f64 (+.f64 1/9 (.f64 x x)) (+.f64 1/9 (.f64 x x)))))))
(/.f64 (.f64 (-.f64 1/729 (pow.f64 x 6)) (-.f64 1/81 (.f64 (.f64 x x) (+.f64 1/9 (.f64 x x))))) (-.f64 1/6561 (.f64 (pow.f64 x 4) (.f64 (+.f64 1/9 (.f64 x x)) (+.f64 1/9 (.f64 x x))))))
(.f64 (/.f64 (-.f64 1/729 (pow.f64 x 6)) (+.f64 1/531441 (pow.f64 (.f64 (.f64 x x) (+.f64 1/9 (.f64 x x))) 3))) (+.f64 1/6561 (-.f64 (.f64 (.f64 (.f64 x x) (+.f64 1/9 (.f64 x x))) (.f64 (.f64 x x) (+.f64 1/9 (.f64 x x)))) (.f64 1/81 (.f64 (.f64 x x) (+.f64 1/9 (*.f64 x x)))))))
(.f64 (+.f64 1/6561 (.f64 (.f64 x (.f64 x (+.f64 1/9 (.f64 x x)))) (-.f64 (.f64 x (.f64 x (+.f64 1/9 (.f64 x x)))) 1/81))) (/.f64 (-.f64 1/729 (pow.f64 x 6)) (+.f64 1/531441 (pow.f64 (.f64 x (.f64 x (+.f64 1/9 (*.f64 x x)))) 3))))
(.f64 (+.f64 1/6561 (.f64 (.f64 (.f64 x x) (+.f64 1/9 (.f64 x x))) (-.f64 (.f64 (.f64 x x) (+.f64 1/9 (.f64 x x))) 1/81))) (/.f64 (-.f64 1/729 (pow.f64 x 6)) (+.f64 1/531441 (pow.f64 (.f64 (.f64 x x) (+.f64 1/9 (*.f64 x x))) 3))))
(/.f64 (-.f64 1/9 (*.f64 x x)) 1)
(-.f64 1/9 (*.f64 x x))
(/.f64 1 (/.f64 1 (-.f64 1/9 (*.f64 x x))))
(-.f64 1/9 (*.f64 x x))
(/.f64 (sqrt.f64 (-.f64 1/9 (.f64 x x))) (/.f64 1 (sqrt.f64 (-.f64 1/9 (.f64 x x)))))
(-.f64 1/9 (*.f64 x x))
(/.f64 (cbrt.f64 (-.f64 1/9 (.f64 x x))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1/9 (.f64 x x))) 2)))
(-.f64 1/9 (*.f64 x x))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1/9 (.f64 x x))) 2) (/.f64 1 (cbrt.f64 (-.f64 1/9 (.f64 x x)))))
(-.f64 1/9 (*.f64 x x))
(/.f64 (-.f64 1/81 (pow.f64 x 4)) (+.f64 1/9 (*.f64 x x)))
(/.f64 (-.f64 1/81 (pow.f64 x 4)) (/.f64 1 (/.f64 1 (+.f64 1/9 (*.f64 x x)))))
(/.f64 (-.f64 1/81 (pow.f64 x 4)) (+.f64 1/9 (*.f64 x x)))
(/.f64 (-.f64 1/729 (pow.f64 x 6)) (+.f64 1/81 (.f64 (.f64 x x) (+.f64 1/9 (*.f64 x x)))))
(/.f64 (-.f64 1/729 (pow.f64 x 6)) (+.f64 1/81 (.f64 x (.f64 x (+.f64 1/9 (*.f64 x x))))))
(/.f64 (-.f64 1/729 (pow.f64 x 6)) (/.f64 1 (/.f64 1 (+.f64 1/81 (.f64 (.f64 x x) (+.f64 1/9 (*.f64 x x)))))))
(/.f64 (-.f64 1/729 (pow.f64 x 6)) (+.f64 1/81 (.f64 x (.f64 x (+.f64 1/9 (*.f64 x x))))))
(/.f64 (-.f64 1/729 (pow.f64 x 6)) (+.f64 1/81 (.f64 (.f64 x x) (+.f64 1/9 (*.f64 x x)))))
(/.f64 (sqrt.f64 (-.f64 1/729 (pow.f64 x 6))) (/.f64 (+.f64 1/81 (.f64 (.f64 x x) (+.f64 1/9 (*.f64 x x)))) (sqrt.f64 (-.f64 1/729 (pow.f64 x 6)))))
(.f64 (/.f64 (sqrt.f64 (-.f64 1/729 (pow.f64 x 6))) (+.f64 1/81 (.f64 x (.f64 x (+.f64 1/9 (.f64 x x)))))) (sqrt.f64 (-.f64 1/729 (pow.f64 x 6))))
(/.f64 (.f64 (sqrt.f64 (-.f64 1/729 (pow.f64 x 6))) (sqrt.f64 (-.f64 1/729 (pow.f64 x 6)))) (+.f64 1/81 (.f64 (.f64 x x) (+.f64 1/9 (.f64 x x)))))
(/.f64 (sqrt.f64 (-.f64 1/81 (pow.f64 x 4))) (/.f64 (+.f64 1/9 (*.f64 x x)) (sqrt.f64 (-.f64 1/81 (pow.f64 x 4)))))
(.f64 (/.f64 (sqrt.f64 (-.f64 1/81 (pow.f64 x 4))) (+.f64 1/9 (.f64 x x))) (sqrt.f64 (-.f64 1/81 (pow.f64 x 4))))
(.f64 (sqrt.f64 (-.f64 1/81 (pow.f64 x 4))) (/.f64 (sqrt.f64 (-.f64 1/81 (pow.f64 x 4))) (+.f64 1/9 (.f64 x x))))
(/.f64 (.f64 (cbrt.f64 (-.f64 1/729 (pow.f64 x 6))) (cbrt.f64 (-.f64 1/729 (pow.f64 x 6)))) (/.f64 (+.f64 1/81 (.f64 (.f64 x x) (+.f64 1/9 (.f64 x x)))) (cbrt.f64 (-.f64 1/729 (pow.f64 x 6)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 1/729 (pow.f64 x 6))) (cbrt.f64 (-.f64 1/729 (pow.f64 x 6)))) (/.f64 (+.f64 1/81 (.f64 x (.f64 x (+.f64 1/9 (.f64 x x))))) (cbrt.f64 (-.f64 1/729 (pow.f64 x 6)))))
(/.f64 (cbrt.f64 (-.f64 1/729 (pow.f64 x 6))) (/.f64 (+.f64 1/81 (.f64 (.f64 x x) (+.f64 1/9 (.f64 x x)))) (.f64 (cbrt.f64 (-.f64 1/729 (pow.f64 x 6))) (cbrt.f64 (-.f64 1/729 (pow.f64 x 6))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 1/81 (pow.f64 x 4))) (cbrt.f64 (-.f64 1/81 (pow.f64 x 4)))) (/.f64 (+.f64 1/9 (.f64 x x)) (cbrt.f64 (-.f64 1/81 (pow.f64 x 4)))))
(.f64 (/.f64 (cbrt.f64 (-.f64 1/81 (pow.f64 x 4))) (/.f64 (+.f64 1/9 (.f64 x x)) (cbrt.f64 (-.f64 1/81 (pow.f64 x 4))))) (cbrt.f64 (-.f64 1/81 (pow.f64 x 4))))
(/.f64 (neg.f64 (-.f64 1/81 (pow.f64 x 4))) (neg.f64 (+.f64 1/9 (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 1/81 (pow.f64 x 4))) (+.f64 -1/9 (*.f64 x (neg.f64 x))))
(/.f64 (+.f64 -1/81 (pow.f64 x 4)) (-.f64 -1/9 (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 1/81 (pow.f64 x 4))) (.f64 1 (neg.f64 (+.f64 1/9 (.f64 x x)))))
(/.f64 (neg.f64 (-.f64 1/81 (pow.f64 x 4))) (+.f64 -1/9 (*.f64 x (neg.f64 x))))
(/.f64 (+.f64 -1/81 (pow.f64 x 4)) (-.f64 -1/9 (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 1/729 (pow.f64 x 6))) (neg.f64 (+.f64 1/81 (.f64 (.f64 x x) (+.f64 1/9 (*.f64 x x))))))
(/.f64 (neg.f64 (-.f64 1/729 (pow.f64 x 6))) (+.f64 -1/81 (neg.f64 (.f64 x (.f64 x (+.f64 1/9 (*.f64 x x)))))))
(/.f64 (+.f64 -1/729 (pow.f64 x 6)) (-.f64 -1/81 (.f64 (.f64 x x) (+.f64 1/9 (*.f64 x x)))))
(/.f64 (neg.f64 (-.f64 1/729 (pow.f64 x 6))) (.f64 1 (neg.f64 (+.f64 1/81 (.f64 (.f64 x x) (+.f64 1/9 (.f64 x x)))))))
(/.f64 (neg.f64 (-.f64 1/729 (pow.f64 x 6))) (+.f64 -1/81 (neg.f64 (.f64 x (.f64 x (+.f64 1/9 (*.f64 x x)))))))
(/.f64 (+.f64 -1/729 (pow.f64 x 6)) (-.f64 -1/81 (.f64 (.f64 x x) (+.f64 1/9 (*.f64 x x)))))
(/.f64 (-.f64 1/81 (.f64 (.f64 x (neg.f64 x)) (.f64 x (neg.f64 x)))) (+.f64 1/9 (.f64 x x)))
(/.f64 (-.f64 1/81 (pow.f64 x 4)) (+.f64 1/9 (*.f64 x x)))
(/.f64 (-.f64 1/531441 (.f64 (pow.f64 x 6) (pow.f64 x 6))) (.f64 (+.f64 1/81 (.f64 (.f64 x x) (+.f64 1/9 (*.f64 x x)))) (+.f64 1/729 (pow.f64 x 6))))
(/.f64 (-.f64 1/531441 (pow.f64 x 12)) (.f64 (+.f64 1/81 (.f64 x (.f64 x (+.f64 1/9 (.f64 x x))))) (+.f64 1/729 (pow.f64 x 6))))
(/.f64 (-.f64 1/531441 (pow.f64 x 12)) (.f64 (+.f64 1/81 (.f64 (.f64 x x) (+.f64 1/9 (.f64 x x)))) (+.f64 1/729 (pow.f64 x 6))))
(/.f64 (-.f64 1/6561 (.f64 (pow.f64 x 4) (pow.f64 x 4))) (.f64 (+.f64 1/9 (*.f64 x x)) (+.f64 (pow.f64 x 4) 1/81)))
(/.f64 (-.f64 1/6561 (pow.f64 x 8)) (.f64 (+.f64 1/9 (.f64 x x)) (+.f64 1/81 (pow.f64 x 4))))
(/.f64 (+.f64 1/729 (pow.f64 (.f64 x (neg.f64 x)) 3)) (+.f64 1/81 (-.f64 (.f64 (.f64 x (neg.f64 x)) (.f64 x (neg.f64 x))) (.f64 1/9 (.f64 x (neg.f64 x))))))
(/.f64 (+.f64 1/729 (pow.f64 (.f64 x (neg.f64 x)) 3)) (+.f64 1/81 (+.f64 (pow.f64 x 4) (.f64 -1/9 (*.f64 x (neg.f64 x))))))
(/.f64 (+.f64 1/729 (pow.f64 (.f64 x (neg.f64 x)) 3)) (.f64 1 (+.f64 1/81 (-.f64 (.f64 (.f64 x (neg.f64 x)) (.f64 x (neg.f64 x))) (.f64 1/9 (*.f64 x (neg.f64 x)))))))
(/.f64 (+.f64 1/729 (pow.f64 (.f64 x (neg.f64 x)) 3)) (+.f64 1/81 (+.f64 (pow.f64 x 4) (.f64 -1/9 (*.f64 x (neg.f64 x))))))
(/.f64 (-.f64 1/387420489 (pow.f64 (pow.f64 x 6) 3)) (.f64 (+.f64 1/81 (.f64 (.f64 x x) (+.f64 1/9 (.f64 x x)))) (+.f64 (+.f64 1/531441 (.f64 (pow.f64 x 6) (pow.f64 x 6))) (.f64 1/729 (pow.f64 x 6)))))
(/.f64 (-.f64 1/387420489 (pow.f64 (pow.f64 x 6) 3)) (.f64 (+.f64 1/81 (.f64 x (.f64 x (+.f64 1/9 (.f64 x x))))) (+.f64 (+.f64 1/531441 (pow.f64 x 12)) (*.f64 1/729 (pow.f64 x 6)))))
(/.f64 (/.f64 (-.f64 1/387420489 (pow.f64 (pow.f64 x 6) 3)) (+.f64 1/81 (.f64 (.f64 x x) (+.f64 1/9 (.f64 x x))))) (+.f64 1/531441 (+.f64 (pow.f64 x 12) (.f64 1/729 (pow.f64 x 6)))))
(/.f64 (-.f64 1/531441 (pow.f64 (pow.f64 x 4) 3)) (.f64 (+.f64 1/9 (.f64 x x)) (+.f64 1/6561 (+.f64 (.f64 (pow.f64 x 4) (pow.f64 x 4)) (.f64 (pow.f64 x 4) 1/81)))))
(/.f64 (-.f64 1/531441 (pow.f64 (pow.f64 x 4) 3)) (.f64 (+.f64 1/9 (.f64 x x)) (+.f64 1/6561 (*.f64 (pow.f64 x 4) (+.f64 1/81 (pow.f64 x 4))))))
(/.f64 (/.f64 (-.f64 1/81 (pow.f64 x 4)) 1) (+.f64 1/9 (*.f64 x x)))
(/.f64 (-.f64 1/81 (pow.f64 x 4)) (+.f64 1/9 (*.f64 x x)))
(/.f64 (/.f64 (-.f64 1/81 (pow.f64 x 4)) (sqrt.f64 (+.f64 1/9 (.f64 x x)))) (sqrt.f64 (+.f64 1/9 (.f64 x x))))
(/.f64 (-.f64 1/81 (pow.f64 x 4)) (.f64 (sqrt.f64 (+.f64 1/9 (.f64 x x))) (sqrt.f64 (+.f64 1/9 (*.f64 x x)))))
(/.f64 (/.f64 (-.f64 1/81 (pow.f64 x 4)) (.f64 (cbrt.f64 (+.f64 1/9 (.f64 x x))) (cbrt.f64 (+.f64 1/9 (.f64 x x))))) (cbrt.f64 (+.f64 1/9 (.f64 x x))))
(/.f64 (-.f64 1/81 (pow.f64 x 4)) (.f64 (cbrt.f64 (+.f64 1/9 (.f64 x x))) (.f64 (cbrt.f64 (+.f64 1/9 (.f64 x x))) (cbrt.f64 (+.f64 1/9 (*.f64 x x))))))
(/.f64 (/.f64 (-.f64 1/729 (pow.f64 x 6)) 1) (+.f64 1/81 (.f64 (.f64 x x) (+.f64 1/9 (*.f64 x x)))))
(/.f64 (-.f64 1/729 (pow.f64 x 6)) (+.f64 1/81 (.f64 x (.f64 x (+.f64 1/9 (*.f64 x x))))))
(/.f64 (-.f64 1/729 (pow.f64 x 6)) (+.f64 1/81 (.f64 (.f64 x x) (+.f64 1/9 (*.f64 x x)))))
(/.f64 (/.f64 (-.f64 1/729 (pow.f64 x 6)) (sqrt.f64 (+.f64 1/81 (.f64 (.f64 x x) (+.f64 1/9 (.f64 x x)))))) (sqrt.f64 (+.f64 1/81 (.f64 (.f64 x x) (+.f64 1/9 (.f64 x x))))))
(/.f64 (/.f64 (-.f64 1/729 (pow.f64 x 6)) (sqrt.f64 (+.f64 1/81 (.f64 x (.f64 x (+.f64 1/9 (.f64 x x))))))) (sqrt.f64 (+.f64 1/81 (.f64 x (.f64 x (+.f64 1/9 (.f64 x x)))))))
(/.f64 (-.f64 1/729 (pow.f64 x 6)) (.f64 (sqrt.f64 (+.f64 1/81 (.f64 (.f64 x x) (+.f64 1/9 (.f64 x x))))) (sqrt.f64 (+.f64 1/81 (.f64 (.f64 x x) (+.f64 1/9 (*.f64 x x)))))))
(/.f64 (/.f64 (-.f64 1/729 (pow.f64 x 6)) (.f64 (cbrt.f64 (+.f64 1/81 (.f64 (.f64 x x) (+.f64 1/9 (.f64 x x))))) (cbrt.f64 (+.f64 1/81 (.f64 (.f64 x x) (+.f64 1/9 (.f64 x x))))))) (cbrt.f64 (+.f64 1/81 (.f64 (.f64 x x) (+.f64 1/9 (.f64 x x))))))
(/.f64 (-.f64 1/729 (pow.f64 x 6)) (.f64 (cbrt.f64 (+.f64 1/81 (.f64 x (.f64 x (+.f64 1/9 (.f64 x x)))))) (.f64 (cbrt.f64 (+.f64 1/81 (.f64 x (.f64 x (+.f64 1/9 (.f64 x x)))))) (cbrt.f64 (+.f64 1/81 (.f64 x (.f64 x (+.f64 1/9 (*.f64 x x)))))))))
(/.f64 (-.f64 1/729 (pow.f64 x 6)) (.f64 (cbrt.f64 (+.f64 1/81 (.f64 (.f64 x x) (+.f64 1/9 (.f64 x x))))) (.f64 (cbrt.f64 (+.f64 1/81 (.f64 (.f64 x x) (+.f64 1/9 (.f64 x x))))) (cbrt.f64 (+.f64 1/81 (.f64 (.f64 x x) (+.f64 1/9 (*.f64 x x))))))))
(pow.f64 (-.f64 1/9 (*.f64 x x)) 1)
(-.f64 1/9 (*.f64 x x))
(pow.f64 (sqrt.f64 (-.f64 1/9 (*.f64 x x))) 2)
(-.f64 1/9 (*.f64 x x))
(pow.f64 (cbrt.f64 (-.f64 1/9 (*.f64 x x))) 3)
(-.f64 1/9 (*.f64 x x))
(pow.f64 (pow.f64 (-.f64 1/9 (*.f64 x x)) 3) 1/3)
(-.f64 1/9 (*.f64 x x))
(sqrt.f64 (pow.f64 (-.f64 1/9 (*.f64 x x)) 2))
(log.f64 (exp.f64 (-.f64 1/9 (*.f64 x x))))
(-.f64 1/9 (*.f64 x x))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1/9 (*.f64 x x)))))
(-.f64 1/9 (*.f64 x x))
(cbrt.f64 (pow.f64 (-.f64 1/9 (*.f64 x x)) 3))
(-.f64 1/9 (*.f64 x x))
(expm1.f64 (log.f64 (-.f64 10/9 (*.f64 x x))))
(exp.f64 (log.f64 (-.f64 1/9 (*.f64 x x))))
(-.f64 1/9 (*.f64 x x))
(log1p.f64 (expm1.f64 (-.f64 1/9 (*.f64 x x))))
(-.f64 1/9 (*.f64 x x))

eval374.0ms (15.8%)

Compiler: Compiled 12915 to 8735 computations (32.4% saved)

prune163.0ms (6.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	620	1	621
Fresh	0	2	2
Picked	0	1	1
Done	1	1	2
Total	621	5	626

Error

Counts

626 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	21.54%	(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x))
▶	0.81%	(-.f64 (+.f64 x 4/3) 1)
✓	0.01%	(+.f64 x 1/3)
	51.53%	x
	47.66%	1/3

Compiler

Compiled 24 to 18 computations (25% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.02%	(+.f64 x 4/3)
✓	0.81%	(-.f64 (+.f64 x 4/3) 1)

Compiler

Compiled 12 to 9 computations (25% saved)

series0.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(-.f64 (+.f64 x 4/3) 1)
0.0ms	x	@	inf	(-.f64 (+.f64 x 4/3) 1)
0.0ms	x	@	-inf	(-.f64 (+.f64 x 4/3) 1)
0.0ms	x	@	0	(+.f64 x 4/3)
0.0ms	x	@	inf	(+.f64 x 4/3)

rewrite218.0ms (9.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1668×	`add-sqr-sqrt`
1638×	`*-un-lft-identity`
1552×	`add-cube-cbrt`
1542×	`add-cbrt-cube`
152×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	159	14
2	2038	14

Stop Event

1×	node limit

Counts

2 → 78

Calls

Call 1

Inputs
(-.f64 (+.f64 x 4/3) 1)
(+.f64 x 4/3)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 4/3 (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 4/3 (-.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 4/3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/3 x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 x 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x 1/3)) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (cbrt.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x 7/3) (+.f64 x 1/3)) (/.f64 1 (+.f64 x 7/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 x 4/3)) 1) (-.f64 (sqrt.f64 (+.f64 x 4/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x 7/3) (*.f64 (+.f64 x 7/3) (+.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3)) (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x 7/3) (+.f64 x 1/3)) (+.f64 x 7/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x 7/3) (+.f64 x 1/3)) (-.f64 (+.f64 x 4/3) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 4/3) 2) (-.f64 1 (*.f64 (+.f64 x 4/3) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) 1/9) (-.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 (*.f64 x x) (-.f64 1/9 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (+.f64 x 7/3) (+.f64 x 1/3))) (neg.f64 (+.f64 x 7/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x 1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x 1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 x 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x 1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x 4/3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x 4/3)) (sqrt.f64 (+.f64 x 4/3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/3)) 2) (cbrt.f64 (+.f64 x 4/3)) -1)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x 7/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (+.f64 x -4/3)) (/.f64 16/9 (+.f64 x -4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 4/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 4/3)) (sqrt.f64 (+.f64 x 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 4/3)) (*.f64 (sqrt.f64 (+.f64 x 4/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x 4/3)) (pow.f64 (cbrt.f64 (+.f64 x 4/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/3)) 2) (cbrt.f64 (+.f64 x 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/3)) 2) (*.f64 (cbrt.f64 (+.f64 x 4/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x -16/9) (/.f64 1 (+.f64 x -4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 64/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 16/9 (*.f64 x 4/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x -4/3) (fma.f64 x x -16/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (-.f64 16/9 (*.f64 x 4/3))) (+.f64 64/27 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -16/9) (+.f64 x -4/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 64/27 (pow.f64 x 3)) (fma.f64 x x (-.f64 16/9 (*.f64 x 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 64/27 (pow.f64 x 3)) (+.f64 16/9 (-.f64 (*.f64 x x) (*.f64 x 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -16/9) 1) (+.f64 x -4/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 64/27 (pow.f64 x 3)) 1) (fma.f64 x x (-.f64 16/9 (*.f64 x 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 16/9 (*.f64 x x)) (-.f64 4/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x x -16/9)) (neg.f64 (+.f64 x -4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 64/27 (pow.f64 x 3))) (neg.f64 (fma.f64 x x (-.f64 16/9 (*.f64 x 4/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x 4/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x 4/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x 4/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x 4/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x 4/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x 4/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 x 7/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x 4/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x 4/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) 4/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 4/3)))))

simplify72.0ms (3%)

Algorithm

1×	egg-herbie

Rules

1036×	`times-frac`
864×	`fma-def`
728×	`unswap-sqr`
634×	`associate-/r*`
592×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	174	1374
1	405	1308
2	1826	1192

Stop Event

1×	node limit

Counts

102 → 93

Calls

Call 1

Inputs
1/3
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
4/3
(+.f64 4/3 x)
(+.f64 4/3 x)
(+.f64 4/3 x)
x
(+.f64 4/3 x)
(+.f64 4/3 x)
(+.f64 4/3 x)
x
(+.f64 4/3 x)
(+.f64 4/3 x)
(+.f64 4/3 x)
(+.f64 x 1/3)
(+.f64 4/3 (+.f64 x -1))
(+.f64 4/3 (-.f64 x 1))
(+.f64 (+.f64 x 4/3) -1)
(+.f64 1/3 x)
(+.f64 -1 (+.f64 x 4/3))
(*.f64 1 (+.f64 x 1/3))
(*.f64 (+.f64 x 1/3) 1)
(*.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)))
(*.f64 (cbrt.f64 (+.f64 x 1/3)) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (cbrt.f64 (+.f64 x 1/3)))
(.f64 (.f64 (+.f64 x 7/3) (+.f64 x 1/3)) (/.f64 1 (+.f64 x 7/3)))
(*.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 4/3)) 1) (-.f64 (sqrt.f64 (+.f64 x 4/3)) 1))
(/.f64 1 (/.f64 (+.f64 x 7/3) (*.f64 (+.f64 x 7/3) (+.f64 x 1/3))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3)) (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1)))
(/.f64 (*.f64 (+.f64 x 7/3) (+.f64 x 1/3)) (+.f64 x 7/3))
(/.f64 (*.f64 (+.f64 x 7/3) (+.f64 x 1/3)) (-.f64 (+.f64 x 4/3) -1))
(/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3)))
(/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 4/3) 2) (-.f64 1 (*.f64 (+.f64 x 4/3) -1))))
(/.f64 (-.f64 (*.f64 x x) 1/9) (-.f64 x 1/3))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 (.f64 x x) (-.f64 1/9 (.f64 x 1/3))))
(/.f64 (neg.f64 (*.f64 (+.f64 x 7/3) (+.f64 x 1/3))) (neg.f64 (+.f64 x 7/3)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3))))
(pow.f64 (+.f64 x 1/3) 1)
(pow.f64 (sqrt.f64 (+.f64 x 1/3)) 2)
(pow.f64 (cbrt.f64 (+.f64 x 1/3)) 3)
(pow.f64 (pow.f64 (+.f64 x 1/3) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 x 1/3) 2))
(log.f64 (exp.f64 (+.f64 x 1/3)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x 1/3))))
(cbrt.f64 (pow.f64 (+.f64 x 1/3) 3))
(expm1.f64 (log.f64 (+.f64 x 4/3)))
(exp.f64 (log.f64 (+.f64 x 1/3)))
(exp.f64 (*.f64 (log.f64 (+.f64 x 1/3)) 1))
(log1p.f64 (expm1.f64 (+.f64 x 1/3)))
(fma.f64 1 x 1/3)
(fma.f64 1 (+.f64 x 4/3) -1)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/3)
(fma.f64 (sqrt.f64 (+.f64 x 4/3)) (sqrt.f64 (+.f64 x 4/3)) -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 1/3)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/3)) 2) (cbrt.f64 (+.f64 x 4/3)) -1)
(-.f64 (+.f64 x 7/3) 1)
(-.f64 (/.f64 (*.f64 x x) (+.f64 x -4/3)) (/.f64 16/9 (+.f64 x -4/3)))
(*.f64 (+.f64 x 4/3) 1)
(*.f64 1 (+.f64 x 4/3))
(*.f64 (sqrt.f64 (+.f64 x 4/3)) (sqrt.f64 (+.f64 x 4/3)))
(.f64 (sqrt.f64 (+.f64 x 4/3)) (.f64 (sqrt.f64 (+.f64 x 4/3)) 1))
(*.f64 (cbrt.f64 (+.f64 x 4/3)) (pow.f64 (cbrt.f64 (+.f64 x 4/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/3)) 2) (cbrt.f64 (+.f64 x 4/3)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/3)) 2) (.f64 (cbrt.f64 (+.f64 x 4/3)) 1))
(*.f64 (fma.f64 x x -16/9) (/.f64 1 (+.f64 x -4/3)))
(.f64 (+.f64 64/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 16/9 (.f64 x 4/3)))))
(/.f64 1 (/.f64 (+.f64 x -4/3) (fma.f64 x x -16/9)))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 16/9 (*.f64 x 4/3))) (+.f64 64/27 (pow.f64 x 3))))
(/.f64 (fma.f64 x x -16/9) (+.f64 x -4/3))
(/.f64 (+.f64 64/27 (pow.f64 x 3)) (fma.f64 x x (-.f64 16/9 (*.f64 x 4/3))))
(/.f64 (+.f64 64/27 (pow.f64 x 3)) (+.f64 16/9 (-.f64 (.f64 x x) (.f64 x 4/3))))
(/.f64 (*.f64 (fma.f64 x x -16/9) 1) (+.f64 x -4/3))
(/.f64 (.f64 (+.f64 64/27 (pow.f64 x 3)) 1) (fma.f64 x x (-.f64 16/9 (.f64 x 4/3))))
(/.f64 (-.f64 16/9 (*.f64 x x)) (-.f64 4/3 x))
(/.f64 (neg.f64 (fma.f64 x x -16/9)) (neg.f64 (+.f64 x -4/3)))
(/.f64 (neg.f64 (+.f64 64/27 (pow.f64 x 3))) (neg.f64 (fma.f64 x x (-.f64 16/9 (*.f64 x 4/3)))))
(pow.f64 (+.f64 x 4/3) 1)
(pow.f64 (sqrt.f64 (+.f64 x 4/3)) 2)
(pow.f64 (cbrt.f64 (+.f64 x 4/3)) 3)
(pow.f64 (pow.f64 (+.f64 x 4/3) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 x 4/3) 2))
(log.f64 (exp.f64 (+.f64 x 4/3)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x 4/3))))
(cbrt.f64 (pow.f64 (+.f64 x 4/3) 3))
(expm1.f64 (log.f64 (+.f64 x 7/3)))
(exp.f64 (log.f64 (+.f64 x 4/3)))
(exp.f64 (*.f64 (log.f64 (+.f64 x 4/3)) 1))
(log1p.f64 (expm1.f64 (+.f64 x 4/3)))
(fma.f64 1 x 4/3)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 4/3)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 4/3)

Outputs
1/3
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
4/3
(+.f64 4/3 x)
(+.f64 x 4/3)
(+.f64 4/3 x)
(+.f64 x 4/3)
(+.f64 4/3 x)
(+.f64 x 4/3)
x
(+.f64 4/3 x)
(+.f64 x 4/3)
(+.f64 4/3 x)
(+.f64 x 4/3)
(+.f64 4/3 x)
(+.f64 x 4/3)
x
(+.f64 4/3 x)
(+.f64 x 4/3)
(+.f64 4/3 x)
(+.f64 x 4/3)
(+.f64 4/3 x)
(+.f64 x 4/3)
(+.f64 x 1/3)
(+.f64 1/3 x)
(+.f64 4/3 (+.f64 x -1))
(+.f64 1/3 x)
(+.f64 4/3 (-.f64 x 1))
(+.f64 1/3 x)
(+.f64 (+.f64 x 4/3) -1)
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 -1 (+.f64 x 4/3))
(+.f64 1/3 x)
(*.f64 1 (+.f64 x 1/3))
(+.f64 1/3 x)
(*.f64 (+.f64 x 1/3) 1)
(+.f64 1/3 x)
(*.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(*.f64 (cbrt.f64 (+.f64 x 1/3)) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2))
(+.f64 1/3 x)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (cbrt.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(.f64 (.f64 (+.f64 x 7/3) (+.f64 x 1/3)) (/.f64 1 (+.f64 x 7/3)))
(+.f64 1/3 x)
(*.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (/.f64 1 (+.f64 (+.f64 x 7/3) (pow.f64 (+.f64 x 4/3) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (+.f64 x (+.f64 7/3 (pow.f64 (+.f64 x 4/3) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (+.f64 1 (*.f64 (+.f64 x 4/3) (+.f64 x 7/3))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 4/3)) 1) (-.f64 (sqrt.f64 (+.f64 x 4/3)) 1))
(+.f64 1/3 x)
(/.f64 1 (/.f64 (+.f64 x 7/3) (*.f64 (+.f64 x 7/3) (+.f64 x 1/3))))
(+.f64 1/3 x)
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3)) (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (/.f64 1 (+.f64 (+.f64 x 7/3) (pow.f64 (+.f64 x 4/3) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (+.f64 x (+.f64 7/3 (pow.f64 (+.f64 x 4/3) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (+.f64 1 (*.f64 (+.f64 x 4/3) (+.f64 x 7/3))))
(/.f64 (*.f64 (+.f64 x 7/3) (+.f64 x 1/3)) (+.f64 x 7/3))
(+.f64 1/3 x)
(/.f64 (*.f64 (+.f64 x 7/3) (+.f64 x 1/3)) (-.f64 (+.f64 x 4/3) -1))
(+.f64 1/3 x)
(/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (/.f64 1 (+.f64 (+.f64 x 7/3) (pow.f64 (+.f64 x 4/3) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (+.f64 x (+.f64 7/3 (pow.f64 (+.f64 x 4/3) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (+.f64 1 (*.f64 (+.f64 x 4/3) (+.f64 x 7/3))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 4/3) 2) (-.f64 1 (*.f64 (+.f64 x 4/3) -1))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (/.f64 1 (+.f64 (+.f64 x 7/3) (pow.f64 (+.f64 x 4/3) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (+.f64 x (+.f64 7/3 (pow.f64 (+.f64 x 4/3) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (+.f64 1 (*.f64 (+.f64 x 4/3) (+.f64 x 7/3))))
(/.f64 (-.f64 (*.f64 x x) 1/9) (-.f64 x 1/3))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 (.f64 x x) (-.f64 1/9 (.f64 x 1/3))))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x x (-.f64 1/9 (*.f64 1/3 x))))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x x (fma.f64 x -1/3 1/9)))
(/.f64 (neg.f64 (*.f64 (+.f64 x 7/3) (+.f64 x 1/3))) (neg.f64 (+.f64 x 7/3)))
(+.f64 1/3 x)
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (/.f64 1 (+.f64 (+.f64 x 7/3) (pow.f64 (+.f64 x 4/3) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (+.f64 x (+.f64 7/3 (pow.f64 (+.f64 x 4/3) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (+.f64 1 (*.f64 (+.f64 x 4/3) (+.f64 x 7/3))))
(pow.f64 (+.f64 x 1/3) 1)
(+.f64 1/3 x)
(pow.f64 (sqrt.f64 (+.f64 x 1/3)) 2)
(+.f64 1/3 x)
(pow.f64 (cbrt.f64 (+.f64 x 1/3)) 3)
(+.f64 1/3 x)
(pow.f64 (pow.f64 (+.f64 x 1/3) 3) 1/3)
(+.f64 1/3 x)
(sqrt.f64 (pow.f64 (+.f64 x 1/3) 2))
(+.f64 1/3 x)
(log.f64 (exp.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x 1/3))))
(+.f64 1/3 x)
(cbrt.f64 (pow.f64 (+.f64 x 1/3) 3))
(+.f64 1/3 x)
(expm1.f64 (log.f64 (+.f64 x 4/3)))
(+.f64 1/3 x)
(exp.f64 (log.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(exp.f64 (*.f64 (log.f64 (+.f64 x 1/3)) 1))
(+.f64 1/3 x)
(log1p.f64 (expm1.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(fma.f64 1 x 1/3)
(+.f64 1/3 x)
(fma.f64 1 (+.f64 x 4/3) -1)
(+.f64 1/3 x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/3)
(+.f64 1/3 x)
(fma.f64 (sqrt.f64 (+.f64 x 4/3)) (sqrt.f64 (+.f64 x 4/3)) -1)
(+.f64 1/3 x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 1/3)
(+.f64 1/3 x)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/3)) 2) (cbrt.f64 (+.f64 x 4/3)) -1)
(+.f64 1/3 x)
(-.f64 (+.f64 x 7/3) 1)
(+.f64 x 4/3)
(-.f64 (/.f64 (*.f64 x x) (+.f64 x -4/3)) (/.f64 16/9 (+.f64 x -4/3)))
(+.f64 (/.f64 (*.f64 x x) (+.f64 x -4/3)) (/.f64 -16/9 (+.f64 x -4/3)))
(/.f64 (fma.f64 x x -16/9) (+.f64 x -4/3))
(*.f64 (+.f64 x 4/3) 1)
(+.f64 x 4/3)
(*.f64 1 (+.f64 x 4/3))
(+.f64 x 4/3)
(*.f64 (sqrt.f64 (+.f64 x 4/3)) (sqrt.f64 (+.f64 x 4/3)))
(+.f64 x 4/3)
(.f64 (sqrt.f64 (+.f64 x 4/3)) (.f64 (sqrt.f64 (+.f64 x 4/3)) 1))
(+.f64 x 4/3)
(*.f64 (cbrt.f64 (+.f64 x 4/3)) (pow.f64 (cbrt.f64 (+.f64 x 4/3)) 2))
(+.f64 x 4/3)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/3)) 2) (cbrt.f64 (+.f64 x 4/3)))
(+.f64 x 4/3)
(.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/3)) 2) (.f64 (cbrt.f64 (+.f64 x 4/3)) 1))
(+.f64 x 4/3)
(*.f64 (fma.f64 x x -16/9) (/.f64 1 (+.f64 x -4/3)))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x -4/3)) (/.f64 16/9 (+.f64 x -4/3)))
(+.f64 (/.f64 (*.f64 x x) (+.f64 x -4/3)) (/.f64 -16/9 (+.f64 x -4/3)))
(/.f64 (fma.f64 x x -16/9) (+.f64 x -4/3))
(.f64 (+.f64 64/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 16/9 (.f64 x 4/3)))))
(/.f64 (+.f64 (pow.f64 x 3) 64/27) (fma.f64 x x (-.f64 16/9 (*.f64 x 4/3))))
(/.f64 (+.f64 (pow.f64 x 3) 64/27) (fma.f64 x (+.f64 x -4/3) 16/9))
(/.f64 1 (/.f64 (+.f64 x -4/3) (fma.f64 x x -16/9)))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x -4/3)) (/.f64 16/9 (+.f64 x -4/3)))
(+.f64 (/.f64 (*.f64 x x) (+.f64 x -4/3)) (/.f64 -16/9 (+.f64 x -4/3)))
(/.f64 (fma.f64 x x -16/9) (+.f64 x -4/3))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 16/9 (*.f64 x 4/3))) (+.f64 64/27 (pow.f64 x 3))))
(/.f64 (+.f64 (pow.f64 x 3) 64/27) (fma.f64 x x (-.f64 16/9 (*.f64 x 4/3))))
(/.f64 (+.f64 (pow.f64 x 3) 64/27) (fma.f64 x (+.f64 x -4/3) 16/9))
(/.f64 (fma.f64 x x -16/9) (+.f64 x -4/3))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x -4/3)) (/.f64 16/9 (+.f64 x -4/3)))
(+.f64 (/.f64 (*.f64 x x) (+.f64 x -4/3)) (/.f64 -16/9 (+.f64 x -4/3)))
(/.f64 (+.f64 64/27 (pow.f64 x 3)) (fma.f64 x x (-.f64 16/9 (*.f64 x 4/3))))
(/.f64 (+.f64 (pow.f64 x 3) 64/27) (fma.f64 x x (-.f64 16/9 (*.f64 x 4/3))))
(/.f64 (+.f64 (pow.f64 x 3) 64/27) (fma.f64 x (+.f64 x -4/3) 16/9))
(/.f64 (+.f64 64/27 (pow.f64 x 3)) (+.f64 16/9 (-.f64 (.f64 x x) (.f64 x 4/3))))
(/.f64 (+.f64 (pow.f64 x 3) 64/27) (fma.f64 x x (-.f64 16/9 (*.f64 x 4/3))))
(/.f64 (+.f64 (pow.f64 x 3) 64/27) (fma.f64 x (+.f64 x -4/3) 16/9))
(/.f64 (*.f64 (fma.f64 x x -16/9) 1) (+.f64 x -4/3))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x -4/3)) (/.f64 16/9 (+.f64 x -4/3)))
(+.f64 (/.f64 (*.f64 x x) (+.f64 x -4/3)) (/.f64 -16/9 (+.f64 x -4/3)))
(/.f64 (fma.f64 x x -16/9) (+.f64 x -4/3))
(/.f64 (.f64 (+.f64 64/27 (pow.f64 x 3)) 1) (fma.f64 x x (-.f64 16/9 (.f64 x 4/3))))
(/.f64 (+.f64 (pow.f64 x 3) 64/27) (fma.f64 x x (-.f64 16/9 (*.f64 x 4/3))))
(/.f64 (+.f64 (pow.f64 x 3) 64/27) (fma.f64 x (+.f64 x -4/3) 16/9))
(/.f64 (-.f64 16/9 (*.f64 x x)) (-.f64 4/3 x))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x -4/3)) (/.f64 16/9 (+.f64 x -4/3)))
(+.f64 (/.f64 (*.f64 x x) (+.f64 x -4/3)) (/.f64 -16/9 (+.f64 x -4/3)))
(/.f64 (fma.f64 x x -16/9) (+.f64 x -4/3))
(/.f64 (neg.f64 (fma.f64 x x -16/9)) (neg.f64 (+.f64 x -4/3)))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x -4/3)) (/.f64 16/9 (+.f64 x -4/3)))
(+.f64 (/.f64 (*.f64 x x) (+.f64 x -4/3)) (/.f64 -16/9 (+.f64 x -4/3)))
(/.f64 (fma.f64 x x -16/9) (+.f64 x -4/3))
(/.f64 (neg.f64 (+.f64 64/27 (pow.f64 x 3))) (neg.f64 (fma.f64 x x (-.f64 16/9 (*.f64 x 4/3)))))
(/.f64 (+.f64 (pow.f64 x 3) 64/27) (fma.f64 x x (-.f64 16/9 (*.f64 x 4/3))))
(/.f64 (+.f64 (pow.f64 x 3) 64/27) (fma.f64 x (+.f64 x -4/3) 16/9))
(pow.f64 (+.f64 x 4/3) 1)
(+.f64 x 4/3)
(pow.f64 (sqrt.f64 (+.f64 x 4/3)) 2)
(+.f64 x 4/3)
(pow.f64 (cbrt.f64 (+.f64 x 4/3)) 3)
(+.f64 x 4/3)
(pow.f64 (pow.f64 (+.f64 x 4/3) 3) 1/3)
(+.f64 x 4/3)
(sqrt.f64 (pow.f64 (+.f64 x 4/3) 2))
(+.f64 x 4/3)
(log.f64 (exp.f64 (+.f64 x 4/3)))
(+.f64 x 4/3)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x 4/3))))
(+.f64 x 4/3)
(cbrt.f64 (pow.f64 (+.f64 x 4/3) 3))
(+.f64 x 4/3)
(expm1.f64 (log.f64 (+.f64 x 7/3)))
(exp.f64 (log.f64 (+.f64 x 4/3)))
(+.f64 x 4/3)
(exp.f64 (*.f64 (log.f64 (+.f64 x 4/3)) 1))
(+.f64 x 4/3)
(log1p.f64 (expm1.f64 (+.f64 x 4/3)))
(+.f64 x 4/3)
(fma.f64 1 x 4/3)
(+.f64 x 4/3)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 4/3)
(+.f64 x 4/3)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 4/3)
(+.f64 x 4/3)

eval24.0ms (1%)

Compiler: Compiled 934 to 734 computations (21.4% saved)

prune15.0ms (0.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	93	5	98

Error

Counts

98 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	21.54%	(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x))
✓	0.81%	(-.f64 (+.f64 x 4/3) 1)
✓	0.01%	(+.f64 x 1/3)
	51.53%	x
	47.66%	1/3

Compiler

Compiled 24 to 18 computations (25% saved)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune2.0ms (0.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	0	0
Done	3	3
Total	5	5

Error

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	21.54%	(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x))
✓	0.81%	(-.f64 (+.f64 x 4/3) 1)
✓	0.01%	(+.f64 x 1/3)
	51.53%	x
	47.66%	1/3

Compiler

Compiled 24 to 18 computations (25% saved)

regimes11.0ms (0.5%)

Counts

7 → 1

Calls

Call 1

Inputs
1/3
x
(+.f64 x 1/3)
(+.f64 x (/.f64 1 3))
(-.f64 (+.f64 x 4/3) 1)
(-.f64 (+.f64 1 (+.f64 x 1/3)) 1)
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x))

Outputs
(+.f64 x 1/3)

Calls

2 calls:

5.0ms	x
5.0ms	(+.f64 x (/.f64 1 3))

Results

Error	Segments	Branch
0.01%	1	`x`
0.01%	1	`(+.f64 x (/.f64 1 3))`

Compiler

Compiled 40 to 30 computations (25% saved)

regimes10.0ms (0.4%)

Accuracy

Total -59.9b remaining (-3323.1%)

Threshold costs -59.9b (-3323.1%)

Counts

2 → 3

Calls

Call 1

Inputs
1/3
x

Outputs
x
1/3
x

Calls

1 calls:

9.0ms

Results

Error	Segments	Branch
2.82%	3	`x`

Compiler

Compiled 5 to 3 computations (40% saved)

bsearch59.0ms (2.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
48.0ms	0.05898154260194115	2.5537698920781726
10.0ms	-0.6780733729488816	-0.01895176920292959

Results

56.0ms

224×

body

256

valid

Compiler

Compiled 94 to 78 computations (17% saved)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative`
2×	`if-if-or-not`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	29
1	20	29

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 x 1/3)
(if (<=.f64 x -5944751508129055/18014398509481984) x (if (<=.f64 x 6124895493223875/18014398509481984) 1/3 x))
1/3

Outputs
(+.f64 x 1/3)
(if (<=.f64 x -5944751508129055/18014398509481984) x (if (<=.f64 x 6124895493223875/18014398509481984) 1/3 x))
1/3

Compiler

Compiled 18 to 13 computations (27.8% saved)

soundness20.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

2×	`1-exp`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	7
1	12	7

Stop Event

1×

saturated

Compiler

Compiled 9 to 7 computations (22.2% saved)

end19.0ms (0.8%)

Compiler: Compiled 16 to 11 computations (31.3% saved)

Details

analyze3.0ms (0.1%)

sample799.0ms (33.7%)

preprocess4.0ms (0.2%)

simplify12.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0%)

localize3.0ms (0.1%)

series0.0ms (0%)

rewrite48.0ms (2%)

simplify49.0ms (2.1%)

eval7.0ms (0.3%)

prune10.0ms (0.4%)

localize7.0ms (0.3%)

series0.0ms (0%)

rewrite70.0ms (3%)

simplify97.0ms (4.1%)

localize9.0ms (0.4%)

series1.0ms (0.1%)

rewrite119.0ms (5%)

simplify134.0ms (5.6%)

eval374.0ms (15.8%)

prune163.0ms (6.9%)

localize5.0ms (0.2%)

series0.0ms (0%)

rewrite218.0ms (9.2%)

simplify72.0ms (3%)

eval24.0ms (1%)

prune15.0ms (0.6%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes11.0ms (0.5%)

regimes10.0ms (0.4%)

bsearch59.0ms (2.5%)

simplify5.0ms (0.2%)

soundness20.0ms (0.9%)

end19.0ms (0.8%)

Profiling